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Finding the Third Proportional to 3,234,472,928 and 4,968,546,048

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Solution

The third proportional to 3,234,472,928 and 4,968,546,048 is: 7,632,294,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,472,928 : 4,968,546,048 = 4,968,546,048 : x
  2. Step 2: Convert to fraction form
    3,234,472,928/4,968,546,048 = 4,968,546,048/x
  3. Step 3: Cross multiply
    3,234,472,928x = 4,968,546,048 × 4,968,546,048
  4. Step 4: Simplify right side
    3,234,472,928x = 24,686,449,831,096,418,304
  5. Step 5: Solve for x
    x = 24,686,449,831,096,418,304/3,234,472,928
  6. Step 6: Final answer
    x = 7,632,294,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.