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Finding the Third Proportional to 6,623,184 and 9,716,801

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Solution

The third proportional to 6,623,184 and 9,716,801 is: 14,255,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,623,184 : 9,716,801 = 9,716,801 : x
  2. Step 2: Convert to fraction form
    6,623,184/9,716,801 = 9,716,801/x
  3. Step 3: Cross multiply
    6,623,184x = 9,716,801 × 9,716,801
  4. Step 4: Simplify right side
    6,623,184x = 94,416,221,673,601
  5. Step 5: Solve for x
    x = 94,416,221,673,601/6,623,184
  6. Step 6: Final answer
    x = 14,255,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.