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Finding the Third Proportional to 122,397,036 and 266,327,832

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Solution

The third proportional to 122,397,036 and 266,327,832 is: 579,511,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,397,036 : 266,327,832 = 266,327,832 : x
  2. Step 2: Convert to fraction form
    122,397,036/266,327,832 = 266,327,832/x
  3. Step 3: Cross multiply
    122,397,036x = 266,327,832 × 266,327,832
  4. Step 4: Simplify right side
    122,397,036x = 70,930,514,097,820,224
  5. Step 5: Solve for x
    x = 70,930,514,097,820,224/122,397,036
  6. Step 6: Final answer
    x = 579,511,697.47

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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.