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Finding the Third Proportional to 23,286,827,100 and 50,653,752,500

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Solution

The third proportional to 23,286,827,100 and 50,653,752,500 is: 110,182,577,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,286,827,100 : 50,653,752,500 = 50,653,752,500 : x
  2. Step 2: Convert to fraction form
    23,286,827,100/50,653,752,500 = 50,653,752,500/x
  3. Step 3: Cross multiply
    23,286,827,100x = 50,653,752,500 × 50,653,752,500
  4. Step 4: Simplify right side
    23,286,827,100x = 2,565,802,642,331,256,487,936
  5. Step 5: Solve for x
    x = 2,565,802,642,331,256,487,936/23,286,827,100
  6. Step 6: Final answer
    x = 110,182,577,957.62

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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.