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Finding the Third Proportional to 1,434,832,484 and 2,984,179,204

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Solution

The third proportional to 1,434,832,484 and 2,984,179,204 is: 6,206,526,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,832,484 : 2,984,179,204 = 2,984,179,204 : x
  2. Step 2: Convert to fraction form
    1,434,832,484/2,984,179,204 = 2,984,179,204/x
  3. Step 3: Cross multiply
    1,434,832,484x = 2,984,179,204 × 2,984,179,204
  4. Step 4: Simplify right side
    1,434,832,484x = 8,905,325,521,586,073,600
  5. Step 5: Solve for x
    x = 8,905,325,521,586,073,600/1,434,832,484
  6. Step 6: Final answer
    x = 6,206,526,281.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.