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Finding the Third Proportional to 38,543,712 and 83,438,400

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Solution

The third proportional to 38,543,712 and 83,438,400 is: 180,625,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543,712 : 83,438,400 = 83,438,400 : x
  2. Step 2: Convert to fraction form
    38,543,712/83,438,400 = 83,438,400/x
  3. Step 3: Cross multiply
    38,543,712x = 83,438,400 × 83,438,400
  4. Step 4: Simplify right side
    38,543,712x = 6,961,966,594,560,000
  5. Step 5: Solve for x
    x = 6,961,966,594,560,000/38,543,712
  6. Step 6: Final answer
    x = 180,625,223.50

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