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Finding the Third Proportional to 5,305,932 and 11,368,944

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Solution

The third proportional to 5,305,932 and 11,368,944 is: 24,360,072.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,932 : 11,368,944 = 11,368,944 : x
  2. Step 2: Convert to fraction form
    5,305,932/11,368,944 = 11,368,944/x
  3. Step 3: Cross multiply
    5,305,932x = 11,368,944 × 11,368,944
  4. Step 4: Simplify right side
    5,305,932x = 129,252,887,675,136
  5. Step 5: Solve for x
    x = 129,252,887,675,136/5,305,932
  6. Step 6: Final answer
    x = 24,360,072.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.