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Finding the Third Proportional to 31,884,865.31 and 47,818,982.81

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Solution

The third proportional to 31,884,865.31 and 47,818,982.81 is: 71,716,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884,865.31 : 47,818,982.81 = 47,818,982.81 : x
  2. Step 2: Convert to fraction form
    31,884,865.31/47,818,982.81 = 47,818,982.81/x
  3. Step 3: Cross multiply
    31,884,865.31x = 47,818,982.81 × 47,818,982.81
  4. Step 4: Simplify right side
    31,884,865.31x = 2,286,655,117,222,170.50
  5. Step 5: Solve for x
    x = 2,286,655,117,222,170.50/31,884,865.31
  6. Step 6: Final answer
    x = 71,716,003.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.