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Finding the Third Proportional to 1,434,832,448 and 2,984,179,132

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Solution

The third proportional to 1,434,832,448 and 2,984,179,132 is: 6,206,526,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,832,448 : 2,984,179,132 = 2,984,179,132 : x
  2. Step 2: Convert to fraction form
    1,434,832,448/2,984,179,132 = 2,984,179,132/x
  3. Step 3: Cross multiply
    1,434,832,448x = 2,984,179,132 × 2,984,179,132
  4. Step 4: Simplify right side
    1,434,832,448x = 8,905,325,091,864,273,920
  5. Step 5: Solve for x
    x = 8,905,325,091,864,273,920/1,434,832,448
  6. Step 6: Final answer
    x = 6,206,526,137.79

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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.