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Finding the Third Proportional to 33,565,941,653,358 and 73,042,429,805,703

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Solution

The third proportional to 33,565,941,653,358 and 73,042,429,805,703 is: 158,946,726,626,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,565,941,653,358 : 73,042,429,805,703 = 73,042,429,805,703 : x
  2. Step 2: Convert to fraction form
    33,565,941,653,358/73,042,429,805,703 = 73,042,429,805,703/x
  3. Step 3: Cross multiply
    33,565,941,653,358x = 73,042,429,805,703 × 73,042,429,805,703
  4. Step 4: Simplify right side
    33,565,941,653,358x = 5,335,196,551,921,049,543,523,696,640
  5. Step 5: Solve for x
    x = 5,335,196,551,921,049,543,523,696,640/33,565,941,653,358
  6. Step 6: Final answer
    x = 158,946,726,626,014.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.