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Finding the Third Proportional to 32,794,731,663,464 and 68,303,863,336,720

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Solution

The third proportional to 32,794,731,663,464 and 68,303,863,336,720 is: 142,261,195,932,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,794,731,663,464 : 68,303,863,336,720 = 68,303,863,336,720 : x
  2. Step 2: Convert to fraction form
    32,794,731,663,464/68,303,863,336,720 = 68,303,863,336,720/x
  3. Step 3: Cross multiply
    32,794,731,663,464x = 68,303,863,336,720 × 68,303,863,336,720
  4. Step 4: Simplify right side
    32,794,731,663,464x = 4,665,417,746,721,322,438,896,910,336
  5. Step 5: Solve for x
    x = 4,665,417,746,721,322,438,896,910,336/32,794,731,663,464
  6. Step 6: Final answer
    x = 142,261,195,932,241.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.