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Finding the Third Proportional to 38,360,064 and 82,161,384

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Solution

The third proportional to 38,360,064 and 82,161,384 is: 175,977,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360,064 : 82,161,384 = 82,161,384 : x
  2. Step 2: Convert to fraction form
    38,360,064/82,161,384 = 82,161,384/x
  3. Step 3: Cross multiply
    38,360,064x = 82,161,384 × 82,161,384
  4. Step 4: Simplify right side
    38,360,064x = 6,750,493,020,795,456
  5. Step 5: Solve for x
    x = 6,750,493,020,795,456/38,360,064
  6. Step 6: Final answer
    x = 175,977,105.27

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