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Finding the Third Proportional to 13,534,570.13 and 22,218,489

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Solution

The third proportional to 13,534,570.13 and 22,218,489 is: 36,474,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534,570.13 : 22,218,489 = 22,218,489 : x
  2. Step 2: Convert to fraction form
    13,534,570.13/22,218,489 = 22,218,489/x
  3. Step 3: Cross multiply
    13,534,570.13x = 22,218,489 × 22,218,489
  4. Step 4: Simplify right side
    13,534,570.13x = 493,661,253,443,121
  5. Step 5: Solve for x
    x = 493,661,253,443,121/13,534,570.13
  6. Step 6: Final answer
    x = 36,474,099.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.