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Finding the Third Proportional to 22,096,608,400 and 47,345,016,220

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Solution

The third proportional to 22,096,608,400 and 47,345,016,220 is: 101,443,195,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,096,608,400 : 47,345,016,220 = 47,345,016,220 : x
  2. Step 2: Convert to fraction form
    22,096,608,400/47,345,016,220 = 47,345,016,220/x
  3. Step 3: Cross multiply
    22,096,608,400x = 47,345,016,220 × 47,345,016,220
  4. Step 4: Simplify right side
    22,096,608,400x = 2,241,550,560,872,063,041,536
  5. Step 5: Solve for x
    x = 2,241,550,560,872,063,041,536/22,096,608,400
  6. Step 6: Final answer
    x = 101,443,195,276.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.