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Finding the Third Proportional to 7,173,686 and 10,658,901

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Solution

The third proportional to 7,173,686 and 10,658,901 is: 15,837,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173,686 : 10,658,901 = 10,658,901 : x
  2. Step 2: Convert to fraction form
    7,173,686/10,658,901 = 10,658,901/x
  3. Step 3: Cross multiply
    7,173,686x = 10,658,901 × 10,658,901
  4. Step 4: Simplify right side
    7,173,686x = 113,612,170,527,801
  5. Step 5: Solve for x
    x = 113,612,170,527,801/7,173,686
  6. Step 6: Final answer
    x = 15,837,349.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.