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Finding the Third Proportional to 10,857,501,751 and 23,429,904,551

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Solution

The third proportional to 10,857,501,751 and 23,429,904,551 is: 50,560,473,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857,501,751 : 23,429,904,551 = 23,429,904,551 : x
  2. Step 2: Convert to fraction form
    10,857,501,751/23,429,904,551 = 23,429,904,551/x
  3. Step 3: Cross multiply
    10,857,501,751x = 23,429,904,551 × 23,429,904,551
  4. Step 4: Simplify right side
    10,857,501,751x = 548,960,427,268,970,512,384
  5. Step 5: Solve for x
    x = 548,960,427,268,970,512,384/10,857,501,751
  6. Step 6: Final answer
    x = 50,560,473,289.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.