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Finding the Third Proportional to 2,565,471.75 and 5,577,489.75

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Solution

The third proportional to 2,565,471.75 and 5,577,489.75 is: 12,125,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565,471.75 : 5,577,489.75 = 5,577,489.75 : x
  2. Step 2: Convert to fraction form
    2,565,471.75/5,577,489.75 = 5,577,489.75/x
  3. Step 3: Cross multiply
    2,565,471.75x = 5,577,489.75 × 5,577,489.75
  4. Step 4: Simplify right side
    2,565,471.75x = 31,108,391,911,355.06
  5. Step 5: Solve for x
    x = 31,108,391,911,355.06/2,565,471.75
  6. Step 6: Final answer
    x = 12,125,797.88

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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.