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Finding the Third Proportional to 31,377,264 and 67,796,313

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Solution

The third proportional to 31,377,264 and 67,796,313 is: 146,486,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,377,264 : 67,796,313 = 67,796,313 : x
  2. Step 2: Convert to fraction form
    31,377,264/67,796,313 = 67,796,313/x
  3. Step 3: Cross multiply
    31,377,264x = 67,796,313 × 67,796,313
  4. Step 4: Simplify right side
    31,377,264x = 4,596,340,056,393,969
  5. Step 5: Solve for x
    x = 4,596,340,056,393,969/31,377,264
  6. Step 6: Final answer
    x = 146,486,323.87

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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.