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Finding the Third Proportional to 31,296,896 and 67,221,496

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Solution

The third proportional to 31,296,896 and 67,221,496 is: 144,382,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296,896 : 67,221,496 = 67,221,496 : x
  2. Step 2: Convert to fraction form
    31,296,896/67,221,496 = 67,221,496/x
  3. Step 3: Cross multiply
    31,296,896x = 67,221,496 × 67,221,496
  4. Step 4: Simplify right side
    31,296,896x = 4,518,729,524,478,016
  5. Step 5: Solve for x
    x = 4,518,729,524,478,016/31,296,896
  6. Step 6: Final answer
    x = 144,382,673.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.