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Finding the Third Proportional to 9,425,646 and 14,412,612

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Solution

The third proportional to 9,425,646 and 14,412,612 is: 22,038,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425,646 : 14,412,612 = 14,412,612 : x
  2. Step 2: Convert to fraction form
    9,425,646/14,412,612 = 14,412,612/x
  3. Step 3: Cross multiply
    9,425,646x = 14,412,612 × 14,412,612
  4. Step 4: Simplify right side
    9,425,646x = 207,723,384,662,544
  5. Step 5: Solve for x
    x = 207,723,384,662,544/9,425,646
  6. Step 6: Final answer
    x = 22,038,105.89

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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.