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Finding the Third Proportional to 8,584,567.31 and 18,412,854.19

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Solution

The third proportional to 8,584,567.31 and 18,412,854.19 is: 39,493,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,567.31 : 18,412,854.19 = 18,412,854.19 : x
  2. Step 2: Convert to fraction form
    8,584,567.31/18,412,854.19 = 18,412,854.19/x
  3. Step 3: Cross multiply
    8,584,567.31x = 18,412,854.19 × 18,412,854.19
  4. Step 4: Simplify right side
    8,584,567.31x = 339,033,199,330,136.31
  5. Step 5: Solve for x
    x = 339,033,199,330,136.31/8,584,567.31
  6. Step 6: Final answer
    x = 39,493,335.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.