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Finding the Third Proportional to 11,531,870,856 and 25,177,538,304

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Solution

The third proportional to 11,531,870,856 and 25,177,538,304 is: 54,970,129,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531,870,856 : 25,177,538,304 = 25,177,538,304 : x
  2. Step 2: Convert to fraction form
    11,531,870,856/25,177,538,304 = 25,177,538,304/x
  3. Step 3: Cross multiply
    11,531,870,856x = 25,177,538,304 × 25,177,538,304
  4. Step 4: Simplify right side
    11,531,870,856x = 633,908,435,049,387,130,880
  5. Step 5: Solve for x
    x = 633,908,435,049,387,130,880/11,531,870,856
  6. Step 6: Final answer
    x = 54,970,129,562.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.