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Finding the Third Proportional to 5,585,294.25 and 8,684,057.25

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Solution

The third proportional to 5,585,294.25 and 8,684,057.25 is: 13,502,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585,294.25 : 8,684,057.25 = 8,684,057.25 : x
  2. Step 2: Convert to fraction form
    5,585,294.25/8,684,057.25 = 8,684,057.25/x
  3. Step 3: Cross multiply
    5,585,294.25x = 8,684,057.25 × 8,684,057.25
  4. Step 4: Simplify right side
    5,585,294.25x = 75,412,850,321,277.56
  5. Step 5: Solve for x
    x = 75,412,850,321,277.56/5,585,294.25
  6. Step 6: Final answer
    x = 13,502,037.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.