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Finding the Third Proportional to 6,428,016 and 9,412,008

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Solution

The third proportional to 6,428,016 and 9,412,008 is: 13,781,218.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,016 : 9,412,008 = 9,412,008 : x
  2. Step 2: Convert to fraction form
    6,428,016/9,412,008 = 9,412,008/x
  3. Step 3: Cross multiply
    6,428,016x = 9,412,008 × 9,412,008
  4. Step 4: Simplify right side
    6,428,016x = 88,585,894,592,064
  5. Step 5: Solve for x
    x = 88,585,894,592,064/6,428,016
  6. Step 6: Final answer
    x = 13,781,218.74

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.