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Finding the Third Proportional to 126,758,520 and 277,727,130

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Solution

The third proportional to 126,758,520 and 277,727,130 is: 608,498,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,758,520 : 277,727,130 = 277,727,130 : x
  2. Step 2: Convert to fraction form
    126,758,520/277,727,130 = 277,727,130/x
  3. Step 3: Cross multiply
    126,758,520x = 277,727,130 × 277,727,130
  4. Step 4: Simplify right side
    126,758,520x = 77,132,358,738,036,896
  5. Step 5: Solve for x
    x = 77,132,358,738,036,896/126,758,520
  6. Step 6: Final answer
    x = 608,498,416.82

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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.