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Finding the Third Proportional to 8,653,566 and 18,914,577

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Solution

The third proportional to 8,653,566 and 18,914,577 is: 41,342,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653,566 : 18,914,577 = 18,914,577 : x
  2. Step 2: Convert to fraction form
    8,653,566/18,914,577 = 18,914,577/x
  3. Step 3: Cross multiply
    8,653,566x = 18,914,577 × 18,914,577
  4. Step 4: Simplify right side
    8,653,566x = 357,761,223,088,929
  5. Step 5: Solve for x
    x = 357,761,223,088,929/8,653,566
  6. Step 6: Final answer
    x = 41,342,635.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.