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Finding the Third Proportional to 31,456,845 and 42,500,164.50

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Solution

The third proportional to 31,456,845 and 42,500,164.50 is: 57,420,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456,845 : 42,500,164.50 = 42,500,164.50 : x
  2. Step 2: Convert to fraction form
    31,456,845/42,500,164.50 = 42,500,164.50/x
  3. Step 3: Cross multiply
    31,456,845x = 42,500,164.50 × 42,500,164.50
  4. Step 4: Simplify right side
    31,456,845x = 1,806,263,982,527,060.25
  5. Step 5: Solve for x
    x = 1,806,263,982,527,060.25/31,456,845
  6. Step 6: Final answer
    x = 57,420,379.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.