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Finding the Third Proportional to 32,740,159.50 and 51,359,578.88

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Solution

The third proportional to 32,740,159.50 and 51,359,578.88 is: 80,567,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,740,159.50 : 51,359,578.88 = 51,359,578.88 : x
  2. Step 2: Convert to fraction form
    32,740,159.50/51,359,578.88 = 51,359,578.88/x
  3. Step 3: Cross multiply
    32,740,159.50x = 51,359,578.88 × 51,359,578.88
  4. Step 4: Simplify right side
    32,740,159.50x = 2,637,806,342,217,346.50
  5. Step 5: Solve for x
    x = 2,637,806,342,217,346.50/32,740,159.50
  6. Step 6: Final answer
    x = 80,567,913.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.