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Finding the Third Proportional to 2,565,532.13 and 5,577,609.38

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Solution

The third proportional to 2,565,532.13 and 5,577,609.38 is: 12,126,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,532.13 : 5,577,609.38 = 5,577,609.38 : x
  2. Step 2: Convert to fraction form
    2,565,532.13/5,577,609.38 = 5,577,609.38/x
  3. Step 3: Cross multiply
    2,565,532.13x = 5,577,609.38 × 5,577,609.38
  4. Step 4: Simplify right side
    2,565,532.13x = 31,109,726,340,087.89
  5. Step 5: Solve for x
    x = 31,109,726,340,087.89/2,565,532.13
  6. Step 6: Final answer
    x = 12,126,032.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.