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Finding the Third Proportional to 10,857,501,757 and 23,429,904,563

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Solution

The third proportional to 10,857,501,757 and 23,429,904,563 is: 50,560,473,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857,501,757 : 23,429,904,563 = 23,429,904,563 : x
  2. Step 2: Convert to fraction form
    10,857,501,757/23,429,904,563 = 23,429,904,563/x
  3. Step 3: Cross multiply
    10,857,501,757x = 23,429,904,563 × 23,429,904,563
  4. Step 4: Simplify right side
    10,857,501,757x = 548,960,427,831,288,201,216
  5. Step 5: Solve for x
    x = 548,960,427,831,288,201,216/10,857,501,757
  6. Step 6: Final answer
    x = 50,560,473,313.06

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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.