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Finding the Third Proportional to 126,682,282 and 277,578,342

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Solution

The third proportional to 126,682,282 and 277,578,342 is: 608,212,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,682,282 : 277,578,342 = 277,578,342 : x
  2. Step 2: Convert to fraction form
    126,682,282/277,578,342 = 277,578,342/x
  3. Step 3: Cross multiply
    126,682,282x = 277,578,342 × 277,578,342
  4. Step 4: Simplify right side
    126,682,282x = 77,049,735,947,468,960
  5. Step 5: Solve for x
    x = 77,049,735,947,468,960/126,682,282
  6. Step 6: Final answer
    x = 608,212,409.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.