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Finding the Third Proportional to 31,154,829 and 67,795,677

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Solution

The third proportional to 31,154,829 and 67,795,677 is: 147,529,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154,829 : 67,795,677 = 67,795,677 : x
  2. Step 2: Convert to fraction form
    31,154,829/67,795,677 = 67,795,677/x
  3. Step 3: Cross multiply
    31,154,829x = 67,795,677 × 67,795,677
  4. Step 4: Simplify right side
    31,154,829x = 4,596,253,819,888,329
  5. Step 5: Solve for x
    x = 4,596,253,819,888,329/31,154,829
  6. Step 6: Final answer
    x = 147,529,418.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.