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Finding the Third Proportional to 9,606,069 and 14,857,991

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Solution

The third proportional to 9,606,069 and 14,857,991 is: 22,981,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,069 : 14,857,991 = 14,857,991 : x
  2. Step 2: Convert to fraction form
    9,606,069/14,857,991 = 14,857,991/x
  3. Step 3: Cross multiply
    9,606,069x = 14,857,991 × 14,857,991
  4. Step 4: Simplify right side
    9,606,069x = 220,759,896,556,081
  5. Step 5: Solve for x
    x = 220,759,896,556,081/9,606,069
  6. Step 6: Final answer
    x = 22,981,294.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.