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Finding the Third Proportional to 5,686,206 and 13,423,199

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Solution

The third proportional to 5,686,206 and 13,423,199 is: 31,687,608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686,206 : 13,423,199 = 13,423,199 : x
  2. Step 2: Convert to fraction form
    5,686,206/13,423,199 = 13,423,199/x
  3. Step 3: Cross multiply
    5,686,206x = 13,423,199 × 13,423,199
  4. Step 4: Simplify right side
    5,686,206x = 180,182,271,393,601
  5. Step 5: Solve for x
    x = 180,182,271,393,601/5,686,206
  6. Step 6: Final answer
    x = 31,687,608.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.