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Finding the Third Proportional to 6,866,264.25 and 10,387,767.38

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Solution

The third proportional to 6,866,264.25 and 10,387,767.38 is: 15,715,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866,264.25 : 10,387,767.38 = 10,387,767.38 : x
  2. Step 2: Convert to fraction form
    6,866,264.25/10,387,767.38 = 10,387,767.38/x
  3. Step 3: Cross multiply
    6,866,264.25x = 10,387,767.38 × 10,387,767.38
  4. Step 4: Simplify right side
    6,866,264.25x = 107,905,711,037,114.39
  5. Step 5: Solve for x
    x = 107,905,711,037,114.39/6,866,264.25
  6. Step 6: Final answer
    x = 15,715,344.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.