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Finding the Third Proportional to 5,991,686 and 13,176,748

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Solution

The third proportional to 5,991,686 and 13,176,748 is: 28,977,935.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,991,686 : 13,176,748 = 13,176,748 : x
  2. Step 2: Convert to fraction form
    5,991,686/13,176,748 = 13,176,748/x
  3. Step 3: Cross multiply
    5,991,686x = 13,176,748 × 13,176,748
  4. Step 4: Simplify right side
    5,991,686x = 173,626,687,855,504
  5. Step 5: Solve for x
    x = 173,626,687,855,504/5,991,686
  6. Step 6: Final answer
    x = 28,977,935.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.