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Finding the Third Proportional to 22,358,098 and 33,649,231

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Solution

The third proportional to 22,358,098 and 33,649,231 is: 50,642,534.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358,098 : 33,649,231 = 33,649,231 : x
  2. Step 2: Convert to fraction form
    22,358,098/33,649,231 = 33,649,231/x
  3. Step 3: Cross multiply
    22,358,098x = 33,649,231 × 33,649,231
  4. Step 4: Simplify right side
    22,358,098x = 1,132,270,746,891,361
  5. Step 5: Solve for x
    x = 1,132,270,746,891,361/22,358,098
  6. Step 6: Final answer
    x = 50,642,534.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.