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Finding the Third Proportional to 24,295,642.14 and 34,377,589.69

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Solution

The third proportional to 24,295,642.14 and 34,377,589.69 is: 48,643,236.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,295,642.14 : 34,377,589.69 = 34,377,589.69 : x
  2. Step 2: Convert to fraction form
    24,295,642.14/34,377,589.69 = 34,377,589.69/x
  3. Step 3: Cross multiply
    24,295,642.14x = 34,377,589.69 × 34,377,589.69
  4. Step 4: Simplify right side
    24,295,642.14x = 1,181,818,672,722,106.25
  5. Step 5: Solve for x
    x = 1,181,818,672,722,106.25/24,295,642.14
  6. Step 6: Final answer
    x = 48,643,236.76

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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.