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Finding the Third Proportional to 3,159,298.50 and 6,822,016.88

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Solution

The third proportional to 3,159,298.50 and 6,822,016.88 is: 14,731,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159,298.50 : 6,822,016.88 = 6,822,016.88 : x
  2. Step 2: Convert to fraction form
    3,159,298.50/6,822,016.88 = 6,822,016.88/x
  3. Step 3: Cross multiply
    3,159,298.50x = 6,822,016.88 × 6,822,016.88
  4. Step 4: Simplify right side
    3,159,298.50x = 46,539,914,242,784.77
  5. Step 5: Solve for x
    x = 46,539,914,242,784.77/3,159,298.50
  6. Step 6: Final answer
    x = 14,731,091.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.