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Finding the Third Proportional to 5,346,280,886 and 11,132,538,076

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Solution

The third proportional to 5,346,280,886 and 11,132,538,076 is: 23,181,236,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,280,886 : 11,132,538,076 = 11,132,538,076 : x
  2. Step 2: Convert to fraction form
    5,346,280,886/11,132,538,076 = 11,132,538,076/x
  3. Step 3: Cross multiply
    5,346,280,886x = 11,132,538,076 × 11,132,538,076
  4. Step 4: Simplify right side
    5,346,280,886x = 123,933,404,013,589,774,336
  5. Step 5: Solve for x
    x = 123,933,404,013,589,774,336/5,346,280,886
  6. Step 6: Final answer
    x = 23,181,236,948.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.