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Finding the Third Proportional to 31,773,474 and 68,585,796

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Solution

The third proportional to 31,773,474 and 68,585,796 is: 148,048,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773,474 : 68,585,796 = 68,585,796 : x
  2. Step 2: Convert to fraction form
    31,773,474/68,585,796 = 68,585,796/x
  3. Step 3: Cross multiply
    31,773,474x = 68,585,796 × 68,585,796
  4. Step 4: Simplify right side
    31,773,474x = 4,704,011,412,953,616
  5. Step 5: Solve for x
    x = 4,704,011,412,953,616/31,773,474
  6. Step 6: Final answer
    x = 148,048,381.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.