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Finding the Third Proportional to 3,073,245,438 and 6,612,605,294

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Solution

The third proportional to 3,073,245,438 and 6,612,605,294 is: 14,228,134,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,245,438 : 6,612,605,294 = 6,612,605,294 : x
  2. Step 2: Convert to fraction form
    3,073,245,438/6,612,605,294 = 6,612,605,294/x
  3. Step 3: Cross multiply
    3,073,245,438x = 6,612,605,294 × 6,612,605,294
  4. Step 4: Simplify right side
    3,073,245,438x = 43,726,548,774,236,823,552
  5. Step 5: Solve for x
    x = 43,726,548,774,236,823,552/3,073,245,438
  6. Step 6: Final answer
    x = 14,228,134,282.27

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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.