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Finding the Third Proportional to 1,239,734,324 and 2,697,383,206

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Solution

The third proportional to 1,239,734,324 and 2,697,383,206 is: 5,868,899,504.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,734,324 : 2,697,383,206 = 2,697,383,206 : x
  2. Step 2: Convert to fraction form
    1,239,734,324/2,697,383,206 = 2,697,383,206/x
  3. Step 3: Cross multiply
    1,239,734,324x = 2,697,383,206 × 2,697,383,206
  4. Step 4: Simplify right side
    1,239,734,324x = 7,275,876,160,010,838,016
  5. Step 5: Solve for x
    x = 7,275,876,160,010,838,016/1,239,734,324
  6. Step 6: Final answer
    x = 5,868,899,504.64

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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.