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Finding the Third Proportional to 6,175,213,632 and 9,541,728,900

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Solution

The third proportional to 6,175,213,632 and 9,541,728,900 is: 14,743,553,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175,213,632 : 9,541,728,900 = 9,541,728,900 : x
  2. Step 2: Convert to fraction form
    6,175,213,632/9,541,728,900 = 9,541,728,900/x
  3. Step 3: Cross multiply
    6,175,213,632x = 9,541,728,900 × 9,541,728,900
  4. Step 4: Simplify right side
    6,175,213,632x = 91,044,590,401,095,204,864
  5. Step 5: Solve for x
    x = 91,044,590,401,095,204,864/6,175,213,632
  6. Step 6: Final answer
    x = 14,743,553,150.83

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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.