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Finding the Third Proportional to 122,442,463 and 266,407,457

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Solution

The third proportional to 122,442,463 and 266,407,457 is: 579,643,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,463 : 266,407,457 = 266,407,457 : x
  2. Step 2: Convert to fraction form
    122,442,463/266,407,457 = 266,407,457/x
  3. Step 3: Cross multiply
    122,442,463x = 266,407,457 × 266,407,457
  4. Step 4: Simplify right side
    122,442,463x = 70,972,933,145,206,848
  5. Step 5: Solve for x
    x = 70,972,933,145,206,848/122,442,463
  6. Step 6: Final answer
    x = 579,643,135.28

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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.