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Finding the Third Proportional to 688,577,643.56 and 1,494,062,435.25

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Solution

The third proportional to 688,577,643.56 and 1,494,062,435.25 is: 3,241,787,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,577,643.56 : 1,494,062,435.25 = 1,494,062,435.25 : x
  2. Step 2: Convert to fraction form
    688,577,643.56/1,494,062,435.25 = 1,494,062,435.25/x
  3. Step 3: Cross multiply
    688,577,643.56x = 1,494,062,435.25 × 1,494,062,435.25
  4. Step 4: Simplify right side
    688,577,643.56x = 2,232,222,560,425,160,448
  5. Step 5: Solve for x
    x = 2,232,222,560,425,160,448/688,577,643.56
  6. Step 6: Final answer
    x = 3,241,787,736.35

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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.