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Finding the Third Proportional to 30,458,418,181,408 and 66,900,474,668,480

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Solution

The third proportional to 30,458,418,181,408 and 66,900,474,668,480 is: 146,943,727,813,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458,418,181,408 : 66,900,474,668,480 = 66,900,474,668,480 : x
  2. Step 2: Convert to fraction form
    30,458,418,181,408/66,900,474,668,480 = 66,900,474,668,480/x
  3. Step 3: Cross multiply
    30,458,418,181,408x = 66,900,474,668,480 × 66,900,474,668,480
  4. Step 4: Simplify right side
    30,458,418,181,408x = 4,475,673,510,867,934,193,452,580,864
  5. Step 5: Solve for x
    x = 4,475,673,510,867,934,193,452,580,864/30,458,418,181,408
  6. Step 6: Final answer
    x = 146,943,727,813,150.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.