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Finding the Third Proportional to 5,749,872.38 and 12,342,565.13

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Solution

The third proportional to 5,749,872.38 and 12,342,565.13 is: 26,494,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749,872.38 : 12,342,565.13 = 12,342,565.13 : x
  2. Step 2: Convert to fraction form
    5,749,872.38/12,342,565.13 = 12,342,565.13/x
  3. Step 3: Cross multiply
    5,749,872.38x = 12,342,565.13 × 12,342,565.13
  4. Step 4: Simplify right side
    5,749,872.38x = 152,338,913,864,866.25
  5. Step 5: Solve for x
    x = 152,338,913,864,866.25/5,749,872.38
  6. Step 6: Final answer
    x = 26,494,312.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.