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Finding the Third Proportional to 3,053,212,719 and 6,647,073,135

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Solution

The third proportional to 3,053,212,719 and 6,647,073,135 is: 14,471,176,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053,212,719 : 6,647,073,135 = 6,647,073,135 : x
  2. Step 2: Convert to fraction form
    3,053,212,719/6,647,073,135 = 6,647,073,135/x
  3. Step 3: Cross multiply
    3,053,212,719x = 6,647,073,135 × 6,647,073,135
  4. Step 4: Simplify right side
    3,053,212,719x = 44,183,581,262,038,728,704
  5. Step 5: Solve for x
    x = 44,183,581,262,038,728,704/3,053,212,719
  6. Step 6: Final answer
    x = 14,471,176,864.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.