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Finding the Third Proportional to 6,056,565.75 and 9,309,373.88

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Solution

The third proportional to 6,056,565.75 and 9,309,373.88 is: 14,309,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056,565.75 : 9,309,373.88 = 9,309,373.88 : x
  2. Step 2: Convert to fraction form
    6,056,565.75/9,309,373.88 = 9,309,373.88/x
  3. Step 3: Cross multiply
    6,056,565.75x = 9,309,373.88 × 9,309,373.88
  4. Step 4: Simplify right side
    6,056,565.75x = 86,664,441,944,532.52
  5. Step 5: Solve for x
    x = 86,664,441,944,532.52/6,056,565.75
  6. Step 6: Final answer
    x = 14,309,172.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.