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Finding the Third Proportional to 65,733,909 and 102,580,272

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Solution

The third proportional to 65,733,909 and 102,580,272 is: 160,080,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,909 : 102,580,272 = 102,580,272 : x
  2. Step 2: Convert to fraction form
    65,733,909/102,580,272 = 102,580,272/x
  3. Step 3: Cross multiply
    65,733,909x = 102,580,272 × 102,580,272
  4. Step 4: Simplify right side
    65,733,909x = 10,522,712,203,593,984
  5. Step 5: Solve for x
    x = 10,522,712,203,593,984/65,733,909
  6. Step 6: Final answer
    x = 160,080,426.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.