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Finding the Third Proportional to 22,319,840 and 31,591,264

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Solution

The third proportional to 22,319,840 and 31,591,264 is: 44,713,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,319,840 : 31,591,264 = 31,591,264 : x
  2. Step 2: Convert to fraction form
    22,319,840/31,591,264 = 31,591,264/x
  3. Step 3: Cross multiply
    22,319,840x = 31,591,264 × 31,591,264
  4. Step 4: Simplify right side
    22,319,840x = 998,007,961,117,696
  5. Step 5: Solve for x
    x = 998,007,961,117,696/22,319,840
  6. Step 6: Final answer
    x = 44,713,938.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.