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Finding the Third Proportional to 6,175,213,630 and 9,541,728,896

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Solution

The third proportional to 6,175,213,630 and 9,541,728,896 is: 14,743,553,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,213,630 : 9,541,728,896 = 9,541,728,896 : x
  2. Step 2: Convert to fraction form
    6,175,213,630/9,541,728,896 = 9,541,728,896/x
  3. Step 3: Cross multiply
    6,175,213,630x = 9,541,728,896 × 9,541,728,896
  4. Step 4: Simplify right side
    6,175,213,630x = 91,044,590,324,761,378,816
  5. Step 5: Solve for x
    x = 91,044,590,324,761,378,816/6,175,213,630
  6. Step 6: Final answer
    x = 14,743,553,143.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.