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Finding the Third Proportional to 17,971,309.50 and 39,363,520.50

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Solution

The third proportional to 17,971,309.50 and 39,363,520.50 is: 86,220,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,971,309.50 : 39,363,520.50 = 39,363,520.50 : x
  2. Step 2: Convert to fraction form
    17,971,309.50/39,363,520.50 = 39,363,520.50/x
  3. Step 3: Cross multiply
    17,971,309.50x = 39,363,520.50 × 39,363,520.50
  4. Step 4: Simplify right side
    17,971,309.50x = 1,549,486,746,153,920.25
  5. Step 5: Solve for x
    x = 1,549,486,746,153,920.25/17,971,309.50
  6. Step 6: Final answer
    x = 86,220,024.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.