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Finding the Third Proportional to 5,307,306.75 and 7,952,626.13

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Solution

The third proportional to 5,307,306.75 and 7,952,626.13 is: 11,916,451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,306.75 : 7,952,626.13 = 7,952,626.13 : x
  2. Step 2: Convert to fraction form
    5,307,306.75/7,952,626.13 = 7,952,626.13/x
  3. Step 3: Cross multiply
    5,307,306.75x = 7,952,626.13 × 7,952,626.13
  4. Step 4: Simplify right side
    5,307,306.75x = 63,244,262,284,032.52
  5. Step 5: Solve for x
    x = 63,244,262,284,032.52/5,307,306.75
  6. Step 6: Final answer
    x = 11,916,451.27

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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.