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Finding the Third Proportional to 34,434,805,698,756 and 75,888,521,486,200

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Solution

The third proportional to 34,434,805,698,756 and 75,888,521,486,200 is: 167,245,540,565,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,434,805,698,756 : 75,888,521,486,200 = 75,888,521,486,200 : x
  2. Step 2: Convert to fraction form
    34,434,805,698,756/75,888,521,486,200 = 75,888,521,486,200/x
  3. Step 3: Cross multiply
    34,434,805,698,756x = 75,888,521,486,200 × 75,888,521,486,200
  4. Step 4: Simplify right side
    34,434,805,698,756x = 5,759,067,693,361,439,338,101,997,568
  5. Step 5: Solve for x
    x = 5,759,067,693,361,439,338,101,997,568/34,434,805,698,756
  6. Step 6: Final answer
    x = 167,245,540,565,646.12

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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.