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Finding the Third Proportional to 1,453,992,496 and 3,129,694,304

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Solution

The third proportional to 1,453,992,496 and 3,129,694,304 is: 6,736,614,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,992,496 : 3,129,694,304 = 3,129,694,304 : x
  2. Step 2: Convert to fraction form
    1,453,992,496/3,129,694,304 = 3,129,694,304/x
  3. Step 3: Cross multiply
    1,453,992,496x = 3,129,694,304 × 3,129,694,304
  4. Step 4: Simplify right side
    1,453,992,496x = 9,794,986,436,490,043,392
  5. Step 5: Solve for x
    x = 9,794,986,436,490,043,392/1,453,992,496
  6. Step 6: Final answer
    x = 6,736,614,159.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.