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Finding the Third Proportional to 2,452,086 and 5,345,565.75

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Solution

The third proportional to 2,452,086 and 5,345,565.75 is: 11,653,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,086 : 5,345,565.75 = 5,345,565.75 : x
  2. Step 2: Convert to fraction form
    2,452,086/5,345,565.75 = 5,345,565.75/x
  3. Step 3: Cross multiply
    2,452,086x = 5,345,565.75 × 5,345,565.75
  4. Step 4: Simplify right side
    2,452,086x = 28,575,073,187,573.06
  5. Step 5: Solve for x
    x = 28,575,073,187,573.06/2,452,086
  6. Step 6: Final answer
    x = 11,653,373.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.