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Finding the Third Proportional to 31,367,216 and 67,945,464

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Solution

The third proportional to 31,367,216 and 67,945,464 is: 147,178,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367,216 : 67,945,464 = 67,945,464 : x
  2. Step 2: Convert to fraction form
    31,367,216/67,945,464 = 67,945,464/x
  3. Step 3: Cross multiply
    31,367,216x = 67,945,464 × 67,945,464
  4. Step 4: Simplify right side
    31,367,216x = 4,616,586,078,175,296
  5. Step 5: Solve for x
    x = 4,616,586,078,175,296/31,367,216
  6. Step 6: Final answer
    x = 147,178,700.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.