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Finding the Third Proportional to 13,785,414 and 22,895,817

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Solution

The third proportional to 13,785,414 and 22,895,817 is: 38,027,036.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785,414 : 22,895,817 = 22,895,817 : x
  2. Step 2: Convert to fraction form
    13,785,414/22,895,817 = 22,895,817/x
  3. Step 3: Cross multiply
    13,785,414x = 22,895,817 × 22,895,817
  4. Step 4: Simplify right side
    13,785,414x = 524,218,436,097,489
  5. Step 5: Solve for x
    x = 524,218,436,097,489/13,785,414
  6. Step 6: Final answer
    x = 38,027,036.12

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.