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Finding the Third Proportional to 31,195,827 and 67,324,038

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Solution

The third proportional to 31,195,827 and 67,324,038 is: 145,292,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,195,827 : 67,324,038 = 67,324,038 : x
  2. Step 2: Convert to fraction form
    31,195,827/67,324,038 = 67,324,038/x
  3. Step 3: Cross multiply
    31,195,827x = 67,324,038 × 67,324,038
  4. Step 4: Simplify right side
    31,195,827x = 4,532,526,092,625,444
  5. Step 5: Solve for x
    x = 4,532,526,092,625,444/31,195,827
  6. Step 6: Final answer
    x = 145,292,705.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.