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Finding the Third Proportional to 31,367,284 and 67,945,640

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Solution

The third proportional to 31,367,284 and 67,945,640 is: 147,179,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367,284 : 67,945,640 = 67,945,640 : x
  2. Step 2: Convert to fraction form
    31,367,284/67,945,640 = 67,945,640/x
  3. Step 3: Cross multiply
    31,367,284x = 67,945,640 × 67,945,640
  4. Step 4: Simplify right side
    31,367,284x = 4,616,609,995,009,600
  5. Step 5: Solve for x
    x = 4,616,609,995,009,600/31,367,284
  6. Step 6: Final answer
    x = 147,179,143.56

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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.