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Finding the Third Proportional to 65,733,897 and 102,580,254

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Solution

The third proportional to 65,733,897 and 102,580,254 is: 160,080,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,897 : 102,580,254 = 102,580,254 : x
  2. Step 2: Convert to fraction form
    65,733,897/102,580,254 = 102,580,254/x
  3. Step 3: Cross multiply
    65,733,897x = 102,580,254 × 102,580,254
  4. Step 4: Simplify right side
    65,733,897x = 10,522,708,510,704,516
  5. Step 5: Solve for x
    x = 10,522,708,510,704,516/65,733,897
  6. Step 6: Final answer
    x = 160,080,399.78

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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.