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Finding the Third Proportional to 13,761,524 and 21,862,713

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Solution

The third proportional to 13,761,524 and 21,862,713 is: 34,732,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761,524 : 21,862,713 = 21,862,713 : x
  2. Step 2: Convert to fraction form
    13,761,524/21,862,713 = 21,862,713/x
  3. Step 3: Cross multiply
    13,761,524x = 21,862,713 × 21,862,713
  4. Step 4: Simplify right side
    13,761,524x = 477,978,219,720,369
  5. Step 5: Solve for x
    x = 477,978,219,720,369/13,761,524
  6. Step 6: Final answer
    x = 34,732,942.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.