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Finding the Third Proportional to 7,579,940 and 11,662,670

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Solution

The third proportional to 7,579,940 and 11,662,670 is: 17,944,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,579,940 : 11,662,670 = 11,662,670 : x
  2. Step 2: Convert to fraction form
    7,579,940/11,662,670 = 11,662,670/x
  3. Step 3: Cross multiply
    7,579,940x = 11,662,670 × 11,662,670
  4. Step 4: Simplify right side
    7,579,940x = 136,017,871,528,900
  5. Step 5: Solve for x
    x = 136,017,871,528,900/7,579,940
  6. Step 6: Final answer
    x = 17,944,452.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.