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Finding the Third Proportional to 26,659,630,510 and 57,331,443,736

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Solution

The third proportional to 26,659,630,510 and 57,331,443,736 is: 123,291,072,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,659,630,510 : 57,331,443,736 = 57,331,443,736 : x
  2. Step 2: Convert to fraction form
    26,659,630,510/57,331,443,736 = 57,331,443,736/x
  3. Step 3: Cross multiply
    26,659,630,510x = 57,331,443,736 × 57,331,443,736
  4. Step 4: Simplify right side
    26,659,630,510x = 3,286,894,440,854,133,407,744
  5. Step 5: Solve for x
    x = 3,286,894,440,854,133,407,744/26,659,630,510
  6. Step 6: Final answer
    x = 123,291,072,605.87

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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.