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Finding the Third Proportional to 26,612,838,679 and 57,262,005,765.50

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Solution

The third proportional to 26,612,838,679 and 57,262,005,765.50 is: 123,208,852,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,612,838,679 : 57,262,005,765.50 = 57,262,005,765.50 : x
  2. Step 2: Convert to fraction form
    26,612,838,679/57,262,005,765.50 = 57,262,005,765.50/x
  3. Step 3: Cross multiply
    26,612,838,679x = 57,262,005,765.50 × 57,262,005,765.50
  4. Step 4: Simplify right side
    26,612,838,679x = 3,278,937,304,288,155,140,096
  5. Step 5: Solve for x
    x = 3,278,937,304,288,155,140,096/26,612,838,679
  6. Step 6: Final answer
    x = 123,208,852,082.19

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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.