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Finding the Third Proportional to 6,176,876 and 9,313,914

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Solution

The third proportional to 6,176,876 and 9,313,914 is: 14,044,153.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176,876 : 9,313,914 = 9,313,914 : x
  2. Step 2: Convert to fraction form
    6,176,876/9,313,914 = 9,313,914/x
  3. Step 3: Cross multiply
    6,176,876x = 9,313,914 × 9,313,914
  4. Step 4: Simplify right side
    6,176,876x = 86,748,993,999,396
  5. Step 5: Solve for x
    x = 86,748,993,999,396/6,176,876
  6. Step 6: Final answer
    x = 14,044,153.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.