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Finding the Third Proportional to 10,399,747 and 23,189,339

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Solution

The third proportional to 10,399,747 and 23,189,339 is: 51,707,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,747 : 23,189,339 = 23,189,339 : x
  2. Step 2: Convert to fraction form
    10,399,747/23,189,339 = 23,189,339/x
  3. Step 3: Cross multiply
    10,399,747x = 23,189,339 × 23,189,339
  4. Step 4: Simplify right side
    10,399,747x = 537,745,443,256,921
  5. Step 5: Solve for x
    x = 537,745,443,256,921/10,399,747
  6. Step 6: Final answer
    x = 51,707,550.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.