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Finding the Third Proportional to 31,465,952 and 68,469,388

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Solution

The third proportional to 31,465,952 and 68,469,388 is: 148,988,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,465,952 : 68,469,388 = 68,469,388 : x
  2. Step 2: Convert to fraction form
    31,465,952/68,469,388 = 68,469,388/x
  3. Step 3: Cross multiply
    31,465,952x = 68,469,388 × 68,469,388
  4. Step 4: Simplify right side
    31,465,952x = 4,688,057,093,094,544
  5. Step 5: Solve for x
    x = 4,688,057,093,094,544/31,465,952
  6. Step 6: Final answer
    x = 148,988,249.05

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