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Finding the Third Proportional to 122,442,744 and 266,407,980

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Solution

The third proportional to 122,442,744 and 266,407,980 is: 579,644,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,744 : 266,407,980 = 266,407,980 : x
  2. Step 2: Convert to fraction form
    122,442,744/266,407,980 = 266,407,980/x
  3. Step 3: Cross multiply
    122,442,744x = 266,407,980 × 266,407,980
  4. Step 4: Simplify right side
    122,442,744x = 70,973,211,807,680,400
  5. Step 5: Solve for x
    x = 70,973,211,807,680,400/122,442,744
  6. Step 6: Final answer
    x = 579,644,080.89

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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.