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Finding the Third Proportional to 76,037,232 and 156,105,427

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Solution

The third proportional to 76,037,232 and 156,105,427 is: 320,486,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,037,232 : 156,105,427 = 156,105,427 : x
  2. Step 2: Convert to fraction form
    76,037,232/156,105,427 = 156,105,427/x
  3. Step 3: Cross multiply
    76,037,232x = 156,105,427 × 156,105,427
  4. Step 4: Simplify right side
    76,037,232x = 24,368,904,338,852,328
  5. Step 5: Solve for x
    x = 24,368,904,338,852,328/76,037,232
  6. Step 6: Final answer
    x = 320,486,473.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.