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Finding the Third Proportional to 10,872,965,086 and 23,407,657,777

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Solution

The third proportional to 10,872,965,086 and 23,407,657,777 is: 50,392,734,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872,965,086 : 23,407,657,777 = 23,407,657,777 : x
  2. Step 2: Convert to fraction form
    10,872,965,086/23,407,657,777 = 23,407,657,777/x
  3. Step 3: Cross multiply
    10,872,965,086x = 23,407,657,777 × 23,407,657,777
  4. Step 4: Simplify right side
    10,872,965,086x = 547,918,442,605,148,569,600
  5. Step 5: Solve for x
    x = 547,918,442,605,148,569,600/10,872,965,086
  6. Step 6: Final answer
    x = 50,392,734,481.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.