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Finding the Third Proportional to 9,181,620,978 and 19,639,750,116

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Solution

The third proportional to 9,181,620,978 and 19,639,750,116 is: 42,009,987,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181,620,978 : 19,639,750,116 = 19,639,750,116 : x
  2. Step 2: Convert to fraction form
    9,181,620,978/19,639,750,116 = 19,639,750,116/x
  3. Step 3: Cross multiply
    9,181,620,978x = 19,639,750,116 × 19,639,750,116
  4. Step 4: Simplify right side
    9,181,620,978x = 385,719,784,618,922,016,768
  5. Step 5: Solve for x
    x = 385,719,784,618,922,016,768/9,181,620,978
  6. Step 6: Final answer
    x = 42,009,987,729.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.