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Finding the Third Proportional to 3,234,472,930 and 4,968,546,051

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Solution

The third proportional to 3,234,472,930 and 4,968,546,051 is: 7,632,294,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,472,930 : 4,968,546,051 = 4,968,546,051 : x
  2. Step 2: Convert to fraction form
    3,234,472,930/4,968,546,051 = 4,968,546,051/x
  3. Step 3: Cross multiply
    3,234,472,930x = 4,968,546,051 × 4,968,546,051
  4. Step 4: Simplify right side
    3,234,472,930x = 24,686,449,860,907,696,128
  5. Step 5: Solve for x
    x = 24,686,449,860,907,696,128/3,234,472,930
  6. Step 6: Final answer
    x = 7,632,294,471.21

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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.