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Finding the Third Proportional to 9,659,337 and 13,537,660

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Solution

The third proportional to 9,659,337 and 13,537,660 is: 18,973,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,337 : 13,537,660 = 13,537,660 : x
  2. Step 2: Convert to fraction form
    9,659,337/13,537,660 = 13,537,660/x
  3. Step 3: Cross multiply
    9,659,337x = 13,537,660 × 13,537,660
  4. Step 4: Simplify right side
    9,659,337x = 183,268,238,275,600
  5. Step 5: Solve for x
    x = 183,268,238,275,600/9,659,337
  6. Step 6: Final answer
    x = 18,973,169.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.