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Finding the Third Proportional to 8,036,613 and 17,633,987.44

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Solution

The third proportional to 8,036,613 and 17,633,987.44 is: 38,692,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,036,613 : 17,633,987.44 = 17,633,987.44 : x
  2. Step 2: Convert to fraction form
    8,036,613/17,633,987.44 = 17,633,987.44/x
  3. Step 3: Cross multiply
    8,036,613x = 17,633,987.44 × 17,633,987.44
  4. Step 4: Simplify right side
    8,036,613x = 310,957,512,945,907.81
  5. Step 5: Solve for x
    x = 310,957,512,945,907.81/8,036,613
  6. Step 6: Final answer
    x = 38,692,607.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.