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Finding the Third Proportional to 3,687,391,963 and 8,110,277,511

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Solution

The third proportional to 3,687,391,963 and 8,110,277,511 is: 17,838,245,015.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687,391,963 : 8,110,277,511 = 8,110,277,511 : x
  2. Step 2: Convert to fraction form
    3,687,391,963/8,110,277,511 = 8,110,277,511/x
  3. Step 3: Cross multiply
    3,687,391,963x = 8,110,277,511 × 8,110,277,511
  4. Step 4: Simplify right side
    3,687,391,963x = 65,776,601,305,432,358,912
  5. Step 5: Solve for x
    x = 65,776,601,305,432,358,912/3,687,391,963
  6. Step 6: Final answer
    x = 17,838,245,015.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.