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Finding the Third Proportional to 4,451,489,880,558 and 9,642,154,808,586

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Solution

The third proportional to 4,451,489,880,558 and 9,642,154,808,586 is: 20,885,400,584,373.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,451,489,880,558 : 9,642,154,808,586 = 9,642,154,808,586 : x
  2. Step 2: Convert to fraction form
    4,451,489,880,558/9,642,154,808,586 = 9,642,154,808,586/x
  3. Step 3: Cross multiply
    4,451,489,880,558x = 9,642,154,808,586 × 9,642,154,808,586
  4. Step 4: Simplify right side
    4,451,489,880,558x = 92,971,149,352,738,114,775,285,760
  5. Step 5: Solve for x
    x = 92,971,149,352,738,114,775,285,760/4,451,489,880,558
  6. Step 6: Final answer
    x = 20,885,400,584,373.35

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Why These Related Problems?

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