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Finding the Third Proportional to 40,644,175.50 and 65,443,315.50

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Solution

The third proportional to 40,644,175.50 and 65,443,315.50 is: 105,373,709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,644,175.50 : 65,443,315.50 = 65,443,315.50 : x
  2. Step 2: Convert to fraction form
    40,644,175.50/65,443,315.50 = 65,443,315.50/x
  3. Step 3: Cross multiply
    40,644,175.50x = 65,443,315.50 × 65,443,315.50
  4. Step 4: Simplify right side
    40,644,175.50x = 4,282,827,543,632,540
  5. Step 5: Solve for x
    x = 4,282,827,543,632,540/40,644,175.50
  6. Step 6: Final answer
    x = 105,373,709.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.