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Finding the Third Proportional to 33,565,941,653,360 and 73,042,429,805,700

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Solution

The third proportional to 33,565,941,653,360 and 73,042,429,805,700 is: 158,946,726,625,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,565,941,653,360 : 73,042,429,805,700 = 73,042,429,805,700 : x
  2. Step 2: Convert to fraction form
    33,565,941,653,360/73,042,429,805,700 = 73,042,429,805,700/x
  3. Step 3: Cross multiply
    33,565,941,653,360x = 73,042,429,805,700 × 73,042,429,805,700
  4. Step 4: Simplify right side
    33,565,941,653,360x = 5,335,196,551,920,611,937,895,841,792
  5. Step 5: Solve for x
    x = 5,335,196,551,920,611,937,895,841,792/33,565,941,653,360
  6. Step 6: Final answer
    x = 158,946,726,625,992.06

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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.