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Finding the Third Proportional to 5,516,911,668 and 8,267,277,048

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Solution

The third proportional to 5,516,911,668 and 8,267,277,048 is: 12,388,791,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516,911,668 : 8,267,277,048 = 8,267,277,048 : x
  2. Step 2: Convert to fraction form
    5,516,911,668/8,267,277,048 = 8,267,277,048/x
  3. Step 3: Cross multiply
    5,516,911,668x = 8,267,277,048 × 8,267,277,048
  4. Step 4: Simplify right side
    5,516,911,668x = 68,347,869,788,387,598,336
  5. Step 5: Solve for x
    x = 68,347,869,788,387,598,336/5,516,911,668
  6. Step 6: Final answer
    x = 12,388,791,755.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.