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Finding the Third Proportional to 4,451,489,670,780 and 9,642,154,429,368

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Solution

The third proportional to 4,451,489,670,780 and 9,642,154,429,368 is: 20,885,399,925,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451,489,670,780 : 9,642,154,429,368 = 9,642,154,429,368 : x
  2. Step 2: Convert to fraction form
    4,451,489,670,780/9,642,154,429,368 = 9,642,154,429,368/x
  3. Step 3: Cross multiply
    4,451,489,670,780x = 9,642,154,429,368 × 9,642,154,429,368
  4. Step 4: Simplify right side
    4,451,489,670,780x = 92,971,142,039,780,948,659,142,656
  5. Step 5: Solve for x
    x = 92,971,142,039,780,948,659,142,656/4,451,489,670,780
  6. Step 6: Final answer
    x = 20,885,399,925,793.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.