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Finding the Third Proportional to 9,332,775 and 14,397,142.50

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Solution

The third proportional to 9,332,775 and 14,397,142.50 is: 22,209,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332,775 : 14,397,142.50 = 14,397,142.50 : x
  2. Step 2: Convert to fraction form
    9,332,775/14,397,142.50 = 14,397,142.50/x
  3. Step 3: Cross multiply
    9,332,775x = 14,397,142.50 × 14,397,142.50
  4. Step 4: Simplify right side
    9,332,775x = 207,277,712,165,306.25
  5. Step 5: Solve for x
    x = 207,277,712,165,306.25/9,332,775
  6. Step 6: Final answer
    x = 22,209,654.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.