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Finding the Third Proportional to 30,700,596 and 67,169,568

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Solution

The third proportional to 30,700,596 and 67,169,568 is: 146,959,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700,596 : 67,169,568 = 67,169,568 : x
  2. Step 2: Convert to fraction form
    30,700,596/67,169,568 = 67,169,568/x
  3. Step 3: Cross multiply
    30,700,596x = 67,169,568 × 67,169,568
  4. Step 4: Simplify right side
    30,700,596x = 4,511,750,865,306,624
  5. Step 5: Solve for x
    x = 4,511,750,865,306,624/30,700,596
  6. Step 6: Final answer
    x = 146,959,715.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.