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Finding the Third Proportional to 10,294,021 and 13,723,747

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Solution

The third proportional to 10,294,021 and 13,723,747 is: 18,296,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,021 : 13,723,747 = 13,723,747 : x
  2. Step 2: Convert to fraction form
    10,294,021/13,723,747 = 13,723,747/x
  3. Step 3: Cross multiply
    10,294,021x = 13,723,747 × 13,723,747
  4. Step 4: Simplify right side
    10,294,021x = 188,341,231,720,009
  5. Step 5: Solve for x
    x = 188,341,231,720,009/10,294,021
  6. Step 6: Final answer
    x = 18,296,177.14

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.