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Finding the Third Proportional to 5,287,102.88 and 7,965,658.31

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Solution

The third proportional to 5,287,102.88 and 7,965,658.31 is: 12,001,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287,102.88 : 7,965,658.31 = 7,965,658.31 : x
  2. Step 2: Convert to fraction form
    5,287,102.88/7,965,658.31 = 7,965,658.31/x
  3. Step 3: Cross multiply
    5,287,102.88x = 7,965,658.31 × 7,965,658.31
  4. Step 4: Simplify right side
    5,287,102.88x = 63,451,712,351,500.34
  5. Step 5: Solve for x
    x = 63,451,712,351,500.34/5,287,102.88
  6. Step 6: Final answer
    x = 12,001,225.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.