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Finding the Third Proportional to 31,854,551 and 49,190,043

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Solution

The third proportional to 31,854,551 and 49,190,043 is: 75,959,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854,551 : 49,190,043 = 49,190,043 : x
  2. Step 2: Convert to fraction form
    31,854,551/49,190,043 = 49,190,043/x
  3. Step 3: Cross multiply
    31,854,551x = 49,190,043 × 49,190,043
  4. Step 4: Simplify right side
    31,854,551x = 2,419,660,330,341,849
  5. Step 5: Solve for x
    x = 2,419,660,330,341,849/31,854,551
  6. Step 6: Final answer
    x = 75,959,643.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.