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Finding the Third Proportional to 2,250,722,848 and 4,798,735,424

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Solution

The third proportional to 2,250,722,848 and 4,798,735,424 is: 10,231,318,214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250,722,848 : 4,798,735,424 = 4,798,735,424 : x
  2. Step 2: Convert to fraction form
    2,250,722,848/4,798,735,424 = 4,798,735,424/x
  3. Step 3: Cross multiply
    2,250,722,848x = 4,798,735,424 × 4,798,735,424
  4. Step 4: Simplify right side
    2,250,722,848x = 23,027,861,669,552,459,776
  5. Step 5: Solve for x
    x = 23,027,861,669,552,459,776/2,250,722,848
  6. Step 6: Final answer
    x = 10,231,318,214.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.