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Finding the Third Proportional to 681,399,549.75 and 1,479,092,038.13

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Solution

The third proportional to 681,399,549.75 and 1,479,092,038.13 is: 3,210,617,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,399,549.75 : 1,479,092,038.13 = 1,479,092,038.13 : x
  2. Step 2: Convert to fraction form
    681,399,549.75/1,479,092,038.13 = 1,479,092,038.13/x
  3. Step 3: Cross multiply
    681,399,549.75x = 1,479,092,038.13 × 1,479,092,038.13
  4. Step 4: Simplify right side
    681,399,549.75x = 2,187,713,257,244,766,464
  5. Step 5: Solve for x
    x = 2,187,713,257,244,766,464/681,399,549.75
  6. Step 6: Final answer
    x = 3,210,617,409.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.