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Finding the Third Proportional to 122,442,532 and 266,407,598

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Solution

The third proportional to 122,442,532 and 266,407,598 is: 579,643,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,442,532 : 266,407,598 = 266,407,598 : x
  2. Step 2: Convert to fraction form
    122,442,532/266,407,598 = 266,407,598/x
  3. Step 3: Cross multiply
    122,442,532x = 266,407,598 × 266,407,598
  4. Step 4: Simplify right side
    122,442,532x = 70,973,008,272,129,600
  5. Step 5: Solve for x
    x = 70,973,008,272,129,600/122,442,532
  6. Step 6: Final answer
    x = 579,643,422.21

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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.