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Finding the Third Proportional to 9,769,350 and 14,944,137

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Solution

The third proportional to 9,769,350 and 14,944,137 is: 22,859,988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769,350 : 14,944,137 = 14,944,137 : x
  2. Step 2: Convert to fraction form
    9,769,350/14,944,137 = 14,944,137/x
  3. Step 3: Cross multiply
    9,769,350x = 14,944,137 × 14,944,137
  4. Step 4: Simplify right side
    9,769,350x = 223,327,230,674,769
  5. Step 5: Solve for x
    x = 223,327,230,674,769/9,769,350
  6. Step 6: Final answer
    x = 22,859,988.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.