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Finding the Third Proportional to 126,531,456 and 276,259,584

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Solution

The third proportional to 126,531,456 and 276,259,584 is: 603,165,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,531,456 : 276,259,584 = 276,259,584 : x
  2. Step 2: Convert to fraction form
    126,531,456/276,259,584 = 276,259,584/x
  3. Step 3: Cross multiply
    126,531,456x = 276,259,584 × 276,259,584
  4. Step 4: Simplify right side
    126,531,456x = 76,319,357,751,853,056
  5. Step 5: Solve for x
    x = 76,319,357,751,853,056/126,531,456
  6. Step 6: Final answer
    x = 603,165,095.58

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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.