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Finding the Third Proportional to 7,666,258.13 and 16,396,218.38

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Solution

The third proportional to 7,666,258.13 and 16,396,218.38 is: 35,067,430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666,258.13 : 16,396,218.38 = 16,396,218.38 : x
  2. Step 2: Convert to fraction form
    7,666,258.13/16,396,218.38 = 16,396,218.38/x
  3. Step 3: Cross multiply
    7,666,258.13x = 16,396,218.38 × 16,396,218.38
  4. Step 4: Simplify right side
    7,666,258.13x = 268,835,977,000,687.62
  5. Step 5: Solve for x
    x = 268,835,977,000,687.62/7,666,258.13
  6. Step 6: Final answer
    x = 35,067,430.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.