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Finding the Third Proportional to 3,785,340,233.25 and 8,237,231,986.50

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Solution

The third proportional to 3,785,340,233.25 and 8,237,231,986.50 is: 17,924,938,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,340,233.25 : 8,237,231,986.50 = 8,237,231,986.50 : x
  2. Step 2: Convert to fraction form
    3,785,340,233.25/8,237,231,986.50 = 8,237,231,986.50/x
  3. Step 3: Cross multiply
    3,785,340,233.25x = 8,237,231,986.50 × 8,237,231,986.50
  4. Step 4: Simplify right side
    3,785,340,233.25x = 67,851,990,799,418,736,640
  5. Step 5: Solve for x
    x = 67,851,990,799,418,736,640/3,785,340,233.25
  6. Step 6: Final answer
    x = 17,924,938,478.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.