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Finding the Third Proportional to 31,984,474.50 and 45,584,295.75

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Solution

The third proportional to 31,984,474.50 and 45,584,295.75 is: 64,966,770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,984,474.50 : 45,584,295.75 = 45,584,295.75 : x
  2. Step 2: Convert to fraction form
    31,984,474.50/45,584,295.75 = 45,584,295.75/x
  3. Step 3: Cross multiply
    31,984,474.50x = 45,584,295.75 × 45,584,295.75
  4. Step 4: Simplify right side
    31,984,474.50x = 2,077,928,019,023,468
  5. Step 5: Solve for x
    x = 2,077,928,019,023,468/31,984,474.50
  6. Step 6: Final answer
    x = 64,966,770.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.