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Finding the Third Proportional to 32,488,399,261,188 and 49,150,444,221,729

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Solution

The third proportional to 32,488,399,261,188 and 49,150,444,221,729 is: 74,357,808,390,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488,399,261,188 : 49,150,444,221,729 = 49,150,444,221,729 : x
  2. Step 2: Convert to fraction form
    32,488,399,261,188/49,150,444,221,729 = 49,150,444,221,729/x
  3. Step 3: Cross multiply
    32,488,399,261,188x = 49,150,444,221,729 × 49,150,444,221,729
  4. Step 4: Simplify right side
    32,488,399,261,188x = 2,415,766,167,193,293,645,343,096,832
  5. Step 5: Solve for x
    x = 2,415,766,167,193,293,645,343,096,832/32,488,399,261,188
  6. Step 6: Final answer
    x = 74,357,808,390,986.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.