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Finding the Third Proportional to 126,766,364 and 277,834,672

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Solution

The third proportional to 126,766,364 and 277,834,672 is: 608,932,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,766,364 : 277,834,672 = 277,834,672 : x
  2. Step 2: Convert to fraction form
    126,766,364/277,834,672 = 277,834,672/x
  3. Step 3: Cross multiply
    126,766,364x = 277,834,672 × 277,834,672
  4. Step 4: Simplify right side
    126,766,364x = 77,192,104,965,347,584
  5. Step 5: Solve for x
    x = 77,192,104,965,347,584/126,766,364
  6. Step 6: Final answer
    x = 608,932,074.17

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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.