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Finding the Third Proportional to 22,360,899 and 47,650,182

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Solution

The third proportional to 22,360,899 and 47,650,182 is: 101,540,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360,899 : 47,650,182 = 47,650,182 : x
  2. Step 2: Convert to fraction form
    22,360,899/47,650,182 = 47,650,182/x
  3. Step 3: Cross multiply
    22,360,899x = 47,650,182 × 47,650,182
  4. Step 4: Simplify right side
    22,360,899x = 2,270,539,844,633,124
  5. Step 5: Solve for x
    x = 2,270,539,844,633,124/22,360,899
  6. Step 6: Final answer
    x = 101,540,633.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.