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Finding the Third Proportional to 126,661,914 and 277,537,200

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Solution

The third proportional to 126,661,914 and 277,537,200 is: 608,129,902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,661,914 : 277,537,200 = 277,537,200 : x
  2. Step 2: Convert to fraction form
    126,661,914/277,537,200 = 277,537,200/x
  3. Step 3: Cross multiply
    126,661,914x = 277,537,200 × 277,537,200
  4. Step 4: Simplify right side
    126,661,914x = 77,026,897,383,840,000
  5. Step 5: Solve for x
    x = 77,026,897,383,840,000/126,661,914
  6. Step 6: Final answer
    x = 608,129,902.28

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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.