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Finding the Third Proportional to 9,124,391.81 and 14,123,372.63

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Solution

The third proportional to 9,124,391.81 and 14,123,372.63 is: 21,861,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124,391.81 : 14,123,372.63 = 14,123,372.63 : x
  2. Step 2: Convert to fraction form
    9,124,391.81/14,123,372.63 = 14,123,372.63/x
  3. Step 3: Cross multiply
    9,124,391.81x = 14,123,372.63 × 14,123,372.63
  4. Step 4: Simplify right side
    9,124,391.81x = 199,469,654,304,599.38
  5. Step 5: Solve for x
    x = 199,469,654,304,599.38/9,124,391.81
  6. Step 6: Final answer
    x = 21,861,145.20

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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.