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Finding the Third Proportional to 10,846,323 and 14,394,678

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Solution

The third proportional to 10,846,323 and 14,394,678 is: 19,103,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846,323 : 14,394,678 = 14,394,678 : x
  2. Step 2: Convert to fraction form
    10,846,323/14,394,678 = 14,394,678/x
  3. Step 3: Cross multiply
    10,846,323x = 14,394,678 × 14,394,678
  4. Step 4: Simplify right side
    10,846,323x = 207,206,754,723,684
  5. Step 5: Solve for x
    x = 207,206,754,723,684/10,846,323
  6. Step 6: Final answer
    x = 19,103,870.94

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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.