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Finding the Third Proportional to 3,867,865,614 and 8,287,166,880

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Solution

The third proportional to 3,867,865,614 and 8,287,166,880 is: 17,755,822,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,865,614 : 8,287,166,880 = 8,287,166,880 : x
  2. Step 2: Convert to fraction form
    3,867,865,614/8,287,166,880 = 8,287,166,880/x
  3. Step 3: Cross multiply
    3,867,865,614x = 8,287,166,880 × 8,287,166,880
  4. Step 4: Simplify right side
    3,867,865,614x = 68,677,134,896,968,933,376
  5. Step 5: Solve for x
    x = 68,677,134,896,968,933,376/3,867,865,614
  6. Step 6: Final answer
    x = 17,755,822,396.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.