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Finding the Third Proportional to 5,346,280,880 and 11,132,538,064

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Solution

The third proportional to 5,346,280,880 and 11,132,538,064 is: 23,181,236,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,280,880 : 11,132,538,064 = 11,132,538,064 : x
  2. Step 2: Convert to fraction form
    5,346,280,880/11,132,538,064 = 11,132,538,064/x
  3. Step 3: Cross multiply
    5,346,280,880x = 11,132,538,064 × 11,132,538,064
  4. Step 4: Simplify right side
    5,346,280,880x = 123,933,403,746,408,873,984
  5. Step 5: Solve for x
    x = 123,933,403,746,408,873,984/5,346,280,880
  6. Step 6: Final answer
    x = 23,181,236,924.91

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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.