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Finding the Third Proportional to 33,255,364,120 and 68,867,984,799

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Solution

The third proportional to 33,255,364,120 and 68,867,984,799 is: 142,617,573,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,255,364,120 : 68,867,984,799 = 68,867,984,799 : x
  2. Step 2: Convert to fraction form
    33,255,364,120/68,867,984,799 = 68,867,984,799/x
  3. Step 3: Cross multiply
    33,255,364,120x = 68,867,984,799 × 68,867,984,799
  4. Step 4: Simplify right side
    33,255,364,120x = 4,742,799,330,275,294,707,712
  5. Step 5: Solve for x
    x = 4,742,799,330,275,294,707,712/33,255,364,120
  6. Step 6: Final answer
    x = 142,617,573,308.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.