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Finding the Third Proportional to 9,445,181,028 and 20,669,635,273

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Solution

The third proportional to 9,445,181,028 and 20,669,635,273 is: 45,232,994,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445,181,028 : 20,669,635,273 = 20,669,635,273 : x
  2. Step 2: Convert to fraction form
    9,445,181,028/20,669,635,273 = 20,669,635,273/x
  3. Step 3: Cross multiply
    9,445,181,028x = 20,669,635,273 × 20,669,635,273
  4. Step 4: Simplify right side
    9,445,181,028x = 427,233,822,318,845,755,392
  5. Step 5: Solve for x
    x = 427,233,822,318,845,755,392/9,445,181,028
  6. Step 6: Final answer
    x = 45,232,994,587.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.