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Finding the Third Proportional to 13,761,550.69 and 21,862,753.03

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Solution

The third proportional to 13,761,550.69 and 21,862,753.03 is: 34,733,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761,550.69 : 21,862,753.03 = 21,862,753.03 : x
  2. Step 2: Convert to fraction form
    13,761,550.69/21,862,753.03 = 21,862,753.03/x
  3. Step 3: Cross multiply
    13,761,550.69x = 21,862,753.03 × 21,862,753.03
  4. Step 4: Simplify right side
    13,761,550.69x = 477,979,970,105,431.06
  5. Step 5: Solve for x
    x = 477,979,970,105,431.06/13,761,550.69
  6. Step 6: Final answer
    x = 34,733,002.19

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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.