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Finding the Third Proportional to 1,874,413,024 and 3,903,970,100

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Solution

The third proportional to 1,874,413,024 and 3,903,970,100 is: 8,131,069,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874,413,024 : 3,903,970,100 = 3,903,970,100 : x
  2. Step 2: Convert to fraction form
    1,874,413,024/3,903,970,100 = 3,903,970,100/x
  3. Step 3: Cross multiply
    1,874,413,024x = 3,903,970,100 × 3,903,970,100
  4. Step 4: Simplify right side
    1,874,413,024x = 15,240,982,541,694,009,344
  5. Step 5: Solve for x
    x = 15,240,982,541,694,009,344/1,874,413,024
  6. Step 6: Final answer
    x = 8,131,069,484.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.