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Finding the Third Proportional to 30,906,474 and 67,127,124

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Solution

The third proportional to 30,906,474 and 67,127,124 is: 145,796,339.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906,474 : 67,127,124 = 67,127,124 : x
  2. Step 2: Convert to fraction form
    30,906,474/67,127,124 = 67,127,124/x
  3. Step 3: Cross multiply
    30,906,474x = 67,127,124 × 67,127,124
  4. Step 4: Simplify right side
    30,906,474x = 4,506,050,776,511,376
  5. Step 5: Solve for x
    x = 4,506,050,776,511,376/30,906,474
  6. Step 6: Final answer
    x = 145,796,339.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.