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Finding the Third Proportional to 40,644,149.63 and 65,443,279.22

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Solution

The third proportional to 40,644,149.63 and 65,443,279.22 is: 105,373,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,644,149.63 : 65,443,279.22 = 65,443,279.22 : x
  2. Step 2: Convert to fraction form
    40,644,149.63/65,443,279.22 = 65,443,279.22/x
  3. Step 3: Cross multiply
    40,644,149.63x = 65,443,279.22 × 65,443,279.22
  4. Step 4: Simplify right side
    40,644,149.63x = 4,282,822,794,903,275.50
  5. Step 5: Solve for x
    x = 4,282,822,794,903,275.50/40,644,149.63
  6. Step 6: Final answer
    x = 105,373,659.79

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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.