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Finding the Third Proportional to 726,482,464 and 1,614,208,064

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Solution

The third proportional to 726,482,464 and 1,614,208,064 is: 3,586,690,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,482,464 : 1,614,208,064 = 1,614,208,064 : x
  2. Step 2: Convert to fraction form
    726,482,464/1,614,208,064 = 1,614,208,064/x
  3. Step 3: Cross multiply
    726,482,464x = 1,614,208,064 × 1,614,208,064
  4. Step 4: Simplify right side
    726,482,464x = 2,605,667,673,882,628,096
  5. Step 5: Solve for x
    x = 2,605,667,673,882,628,096/726,482,464
  6. Step 6: Final answer
    x = 3,586,690,392.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.