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Finding the Third Proportional to 3,947,845,838 and 8,778,373,658

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Solution

The third proportional to 3,947,845,838 and 8,778,373,658 is: 19,519,466,372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947,845,838 : 8,778,373,658 = 8,778,373,658 : x
  2. Step 2: Convert to fraction form
    3,947,845,838/8,778,373,658 = 8,778,373,658/x
  3. Step 3: Cross multiply
    3,947,845,838x = 8,778,373,658 × 8,778,373,658
  4. Step 4: Simplify right side
    3,947,845,838x = 77,059,844,079,468,298,240
  5. Step 5: Solve for x
    x = 77,059,844,079,468,298,240/3,947,845,838
  6. Step 6: Final answer
    x = 19,519,466,372.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.