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Finding the Third Proportional to 688,577,623.31 and 1,494,062,398.13

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Solution

The third proportional to 688,577,623.31 and 1,494,062,398.13 is: 3,241,787,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,577,623.31 : 1,494,062,398.13 = 1,494,062,398.13 : x
  2. Step 2: Convert to fraction form
    688,577,623.31/1,494,062,398.13 = 1,494,062,398.13/x
  3. Step 3: Cross multiply
    688,577,623.31x = 1,494,062,398.13 × 1,494,062,398.13
  4. Step 4: Simplify right side
    688,577,623.31x = 2,232,222,449,491,025,920
  5. Step 5: Solve for x
    x = 2,232,222,449,491,025,920/688,577,623.31
  6. Step 6: Final answer
    x = 3,241,787,670.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.