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Finding the Third Proportional to 3,960,371,058.75 and 8,392,910,839.50

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Solution

The third proportional to 3,960,371,058.75 and 8,392,910,839.50 is: 17,786,452,661.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960,371,058.75 : 8,392,910,839.50 = 8,392,910,839.50 : x
  2. Step 2: Convert to fraction form
    3,960,371,058.75/8,392,910,839.50 = 8,392,910,839.50/x
  3. Step 3: Cross multiply
    3,960,371,058.75x = 8,392,910,839.50 × 8,392,910,839.50
  4. Step 4: Simplify right side
    3,960,371,058.75x = 70,440,952,359,796,596,736
  5. Step 5: Solve for x
    x = 70,440,952,359,796,596,736/3,960,371,058.75
  6. Step 6: Final answer
    x = 17,786,452,661.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.