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Finding the Third Proportional to 8,706,952.50 and 20,332,159.25

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Solution

The third proportional to 8,706,952.50 and 20,332,159.25 is: 47,478,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706,952.50 : 20,332,159.25 = 20,332,159.25 : x
  2. Step 2: Convert to fraction form
    8,706,952.50/20,332,159.25 = 20,332,159.25/x
  3. Step 3: Cross multiply
    8,706,952.50x = 20,332,159.25 × 20,332,159.25
  4. Step 4: Simplify right side
    8,706,952.50x = 413,396,699,767,360.56
  5. Step 5: Solve for x
    x = 413,396,699,767,360.56/8,706,952.50
  6. Step 6: Final answer
    x = 47,478,919.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.