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Finding the Third Proportional to 38,257,128 and 81,972,136.50

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Solution

The third proportional to 38,257,128 and 81,972,136.50 is: 175,638,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,257,128 : 81,972,136.50 = 81,972,136.50 : x
  2. Step 2: Convert to fraction form
    38,257,128/81,972,136.50 = 81,972,136.50/x
  3. Step 3: Cross multiply
    38,257,128x = 81,972,136.50 × 81,972,136.50
  4. Step 4: Simplify right side
    38,257,128x = 6,719,431,162,374,632
  5. Step 5: Solve for x
    x = 6,719,431,162,374,632/38,257,128
  6. Step 6: Final answer
    x = 175,638,672.15

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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.