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Finding the Third Proportional to 31,003,348 and 72,414,806

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Solution

The third proportional to 31,003,348 and 72,414,806 is: 169,139,930.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003,348 : 72,414,806 = 72,414,806 : x
  2. Step 2: Convert to fraction form
    31,003,348/72,414,806 = 72,414,806/x
  3. Step 3: Cross multiply
    31,003,348x = 72,414,806 × 72,414,806
  4. Step 4: Simplify right side
    31,003,348x = 5,243,904,128,017,636
  5. Step 5: Solve for x
    x = 5,243,904,128,017,636/31,003,348
  6. Step 6: Final answer
    x = 169,139,930.57

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.