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Finding the Third Proportional to 2,594,242,070,025 and 5,578,908,650,976

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Solution

The third proportional to 2,594,242,070,025 and 5,578,908,650,976 is: 11,997,423,870,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,242,070,025 : 5,578,908,650,976 = 5,578,908,650,976 : x
  2. Step 2: Convert to fraction form
    2,594,242,070,025/5,578,908,650,976 = 5,578,908,650,976/x
  3. Step 3: Cross multiply
    2,594,242,070,025x = 5,578,908,650,976 × 5,578,908,650,976
  4. Step 4: Simplify right side
    2,594,242,070,025x = 31,124,221,735,934,851,511,484,416
  5. Step 5: Solve for x
    x = 31,124,221,735,934,851,511,484,416/2,594,242,070,025
  6. Step 6: Final answer
    x = 11,997,423,870,176.82

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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.