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Finding the Third Proportional to 6,502,847.06 and 9,149,352.47

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Solution

The third proportional to 6,502,847.06 and 9,149,352.47 is: 12,872,923.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502,847.06 : 9,149,352.47 = 9,149,352.47 : x
  2. Step 2: Convert to fraction form
    6,502,847.06/9,149,352.47 = 9,149,352.47/x
  3. Step 3: Cross multiply
    6,502,847.06x = 9,149,352.47 × 9,149,352.47
  4. Step 4: Simplify right side
    6,502,847.06x = 83,710,650,597,421.72
  5. Step 5: Solve for x
    x = 83,710,650,597,421.72/6,502,847.06
  6. Step 6: Final answer
    x = 12,872,923.17

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.