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Finding the Third Proportional to 13,761,526 and 21,862,716

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Solution

The third proportional to 13,761,526 and 21,862,716 is: 34,732,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761,526 : 21,862,716 = 21,862,716 : x
  2. Step 2: Convert to fraction form
    13,761,526/21,862,716 = 21,862,716/x
  3. Step 3: Cross multiply
    13,761,526x = 21,862,716 × 21,862,716
  4. Step 4: Simplify right side
    13,761,526x = 477,978,350,896,656
  5. Step 5: Solve for x
    x = 477,978,350,896,656/13,761,526
  6. Step 6: Final answer
    x = 34,732,946.83

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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.