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Finding the Third Proportional to 7,704,801 and 11,532,051

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Solution

The third proportional to 7,704,801 and 11,532,051 is: 17,260,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704,801 : 11,532,051 = 11,532,051 : x
  2. Step 2: Convert to fraction form
    7,704,801/11,532,051 = 11,532,051/x
  3. Step 3: Cross multiply
    7,704,801x = 11,532,051 × 11,532,051
  4. Step 4: Simplify right side
    7,704,801x = 132,988,200,266,601
  5. Step 5: Solve for x
    x = 132,988,200,266,601/7,704,801
  6. Step 6: Final answer
    x = 17,260,432.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.