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Finding the Third Proportional to 20,853,813 and 45,414,951

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Solution

The third proportional to 20,853,813 and 45,414,951 is: 98,903,628.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853,813 : 45,414,951 = 45,414,951 : x
  2. Step 2: Convert to fraction form
    20,853,813/45,414,951 = 45,414,951/x
  3. Step 3: Cross multiply
    20,853,813x = 45,414,951 × 45,414,951
  4. Step 4: Simplify right side
    20,853,813x = 2,062,517,774,332,401
  5. Step 5: Solve for x
    x = 2,062,517,774,332,401/20,853,813
  6. Step 6: Final answer
    x = 98,903,628.53

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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.