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Finding the Third Proportional to 38,543,838 and 83,438,643

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Solution

The third proportional to 38,543,838 and 83,438,643 is: 180,625,685.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543,838 : 83,438,643 = 83,438,643 : x
  2. Step 2: Convert to fraction form
    38,543,838/83,438,643 = 83,438,643/x
  3. Step 3: Cross multiply
    38,543,838x = 83,438,643 × 83,438,643
  4. Step 4: Simplify right side
    38,543,838x = 6,962,007,145,681,449
  5. Step 5: Solve for x
    x = 6,962,007,145,681,449/38,543,838
  6. Step 6: Final answer
    x = 180,625,685.11

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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.