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Finding the Third Proportional to 20,961,144 and 45,832,464

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Solution

The third proportional to 20,961,144 and 45,832,464 is: 100,214,699.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,961,144 : 45,832,464 = 45,832,464 : x
  2. Step 2: Convert to fraction form
    20,961,144/45,832,464 = 45,832,464/x
  3. Step 3: Cross multiply
    20,961,144x = 45,832,464 × 45,832,464
  4. Step 4: Simplify right side
    20,961,144x = 2,100,614,756,311,296
  5. Step 5: Solve for x
    x = 2,100,614,756,311,296/20,961,144
  6. Step 6: Final answer
    x = 100,214,699.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.