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Finding the Third Proportional to 8,869,098 and 19,122,570

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Solution

The third proportional to 8,869,098 and 19,122,570 is: 41,229,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,869,098 : 19,122,570 = 19,122,570 : x
  2. Step 2: Convert to fraction form
    8,869,098/19,122,570 = 19,122,570/x
  3. Step 3: Cross multiply
    8,869,098x = 19,122,570 × 19,122,570
  4. Step 4: Simplify right side
    8,869,098x = 365,672,683,404,900
  5. Step 5: Solve for x
    x = 365,672,683,404,900/8,869,098
  6. Step 6: Final answer
    x = 41,229,974.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.