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Finding the Third Proportional to 52,509,279,346.50 and 112,982,560,522.69

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Solution

The third proportional to 52,509,279,346.50 and 112,982,560,522.69 is: 243,101,012,642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509,279,346.50 : 112,982,560,522.69 = 112,982,560,522.69 : x
  2. Step 2: Convert to fraction form
    52,509,279,346.50/112,982,560,522.69 = 112,982,560,522.69/x
  3. Step 3: Cross multiply
    52,509,279,346.50x = 112,982,560,522.69 × 112,982,560,522.69
  4. Step 4: Simplify right side
    52,509,279,346.50x = 12,765,058,982,263,308,419,072
  5. Step 5: Solve for x
    x = 12,765,058,982,263,308,419,072/52,509,279,346.50
  6. Step 6: Final answer
    x = 243,101,012,642.52

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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.