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Finding the Third Proportional to 65,733,910 and 102,580,274

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Solution

The third proportional to 65,733,910 and 102,580,274 is: 160,080,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,910 : 102,580,274 = 102,580,274 : x
  2. Step 2: Convert to fraction form
    65,733,910/102,580,274 = 102,580,274/x
  3. Step 3: Cross multiply
    65,733,910x = 102,580,274 × 102,580,274
  4. Step 4: Simplify right side
    65,733,910x = 10,522,712,613,915,076
  5. Step 5: Solve for x
    x = 10,522,712,613,915,076/65,733,910
  6. Step 6: Final answer
    x = 160,080,430.54

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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.