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Finding the Third Proportional to 2,152,248,672 and 4,476,268,698

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Solution

The third proportional to 2,152,248,672 and 4,476,268,698 is: 9,309,789,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152,248,672 : 4,476,268,698 = 4,476,268,698 : x
  2. Step 2: Convert to fraction form
    2,152,248,672/4,476,268,698 = 4,476,268,698/x
  3. Step 3: Cross multiply
    2,152,248,672x = 4,476,268,698 × 4,476,268,698
  4. Step 4: Simplify right side
    2,152,248,672x = 20,036,981,456,694,616,064
  5. Step 5: Solve for x
    x = 20,036,981,456,694,616,064/2,152,248,672
  6. Step 6: Final answer
    x = 9,309,789,206.69

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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.