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Finding the Third Proportional to 9,124,431 and 14,123,448

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Solution

The third proportional to 9,124,431 and 14,123,448 is: 21,861,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124,431 : 14,123,448 = 14,123,448 : x
  2. Step 2: Convert to fraction form
    9,124,431/14,123,448 = 14,123,448/x
  3. Step 3: Cross multiply
    9,124,431x = 14,123,448 × 14,123,448
  4. Step 4: Simplify right side
    9,124,431x = 199,471,783,408,704
  5. Step 5: Solve for x
    x = 199,471,783,408,704/9,124,431
  6. Step 6: Final answer
    x = 21,861,284.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.