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Finding the Third Proportional to 5,287,676 and 7,134,316.38

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Solution

The third proportional to 5,287,676 and 7,134,316.38 is: 9,625,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287,676 : 7,134,316.38 = 7,134,316.38 : x
  2. Step 2: Convert to fraction form
    5,287,676/7,134,316.38 = 7,134,316.38/x
  3. Step 3: Cross multiply
    5,287,676x = 7,134,316.38 × 7,134,316.38
  4. Step 4: Simplify right side
    5,287,676x = 50,898,470,138,593.14
  5. Step 5: Solve for x
    x = 50,898,470,138,593.14/5,287,676
  6. Step 6: Final answer
    x = 9,625,867.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.