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Finding the Third Proportional to 6,584,010 and 15,859,901

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Solution

The third proportional to 6,584,010 and 15,859,901 is: 38,204,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584,010 : 15,859,901 = 15,859,901 : x
  2. Step 2: Convert to fraction form
    6,584,010/15,859,901 = 15,859,901/x
  3. Step 3: Cross multiply
    6,584,010x = 15,859,901 × 15,859,901
  4. Step 4: Simplify right side
    6,584,010x = 251,536,459,729,801
  5. Step 5: Solve for x
    x = 251,536,459,729,801/6,584,010
  6. Step 6: Final answer
    x = 38,204,143.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.