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Finding the Third Proportional to 38,543,922 and 83,438,804

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Solution

The third proportional to 38,543,922 and 83,438,804 is: 180,625,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543,922 : 83,438,804 = 83,438,804 : x
  2. Step 2: Convert to fraction form
    38,543,922/83,438,804 = 83,438,804/x
  3. Step 3: Cross multiply
    38,543,922x = 83,438,804 × 83,438,804
  4. Step 4: Simplify right side
    38,543,922x = 6,962,034,012,950,416
  5. Step 5: Solve for x
    x = 6,962,034,012,950,416/38,543,922
  6. Step 6: Final answer
    x = 180,625,988.53

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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.