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Finding the Third Proportional to 122,442,517 and 266,407,570

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Solution

The third proportional to 122,442,517 and 266,407,570 is: 579,643,371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,517 : 266,407,570 = 266,407,570 : x
  2. Step 2: Convert to fraction form
    122,442,517/266,407,570 = 266,407,570/x
  3. Step 3: Cross multiply
    122,442,517x = 266,407,570 × 266,407,570
  4. Step 4: Simplify right side
    122,442,517x = 70,972,993,353,304,896
  5. Step 5: Solve for x
    x = 70,972,993,353,304,896/122,442,517
  6. Step 6: Final answer
    x = 579,643,371.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.