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Finding the Third Proportional to 31,367,360 and 67,945,792

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Solution

The third proportional to 31,367,360 and 67,945,792 is: 147,179,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,367,360 : 67,945,792 = 67,945,792 : x
  2. Step 2: Convert to fraction form
    31,367,360/67,945,792 = 67,945,792/x
  3. Step 3: Cross multiply
    31,367,360x = 67,945,792 × 67,945,792
  4. Step 4: Simplify right side
    31,367,360x = 4,616,630,650,507,264
  5. Step 5: Solve for x
    x = 4,616,630,650,507,264/31,367,360
  6. Step 6: Final answer
    x = 147,179,445.47

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Why These Related Problems?

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