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Finding the Third Proportional to 9,277,306.50 and 14,155,914

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Solution

The third proportional to 9,277,306.50 and 14,155,914 is: 21,600,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,306.50 : 14,155,914 = 14,155,914 : x
  2. Step 2: Convert to fraction form
    9,277,306.50/14,155,914 = 14,155,914/x
  3. Step 3: Cross multiply
    9,277,306.50x = 14,155,914 × 14,155,914
  4. Step 4: Simplify right side
    9,277,306.50x = 200,389,901,175,396
  5. Step 5: Solve for x
    x = 200,389,901,175,396/9,277,306.50
  6. Step 6: Final answer
    x = 21,600,008.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.