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Finding the Third Proportional to 2,594,242,070,016.80 and 5,578,908,650,957.60

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Solution

The third proportional to 2,594,242,070,016.80 and 5,578,908,650,957.60 is: 11,997,423,870,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,242,070,016.80 : 5,578,908,650,957.60 = 5,578,908,650,957.60 : x
  2. Step 2: Convert to fraction form
    2,594,242,070,016.80/5,578,908,650,957.60 = 5,578,908,650,957.60/x
  3. Step 3: Cross multiply
    2,594,242,070,016.80x = 5,578,908,650,957.60 × 5,578,908,650,957.60
  4. Step 4: Simplify right side
    2,594,242,070,016.80x = 31,124,221,735,729,543,484,801,024
  5. Step 5: Solve for x
    x = 31,124,221,735,729,543,484,801,024/2,594,242,070,016.80
  6. Step 6: Final answer
    x = 11,997,423,870,135.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.