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Finding the Third Proportional to 8,008,071 and 17,275,854

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Solution

The third proportional to 8,008,071 and 17,275,854 is: 37,269,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,008,071 : 17,275,854 = 17,275,854 : x
  2. Step 2: Convert to fraction form
    8,008,071/17,275,854 = 17,275,854/x
  3. Step 3: Cross multiply
    8,008,071x = 17,275,854 × 17,275,854
  4. Step 4: Simplify right side
    8,008,071x = 298,455,131,429,316
  5. Step 5: Solve for x
    x = 298,455,131,429,316/8,008,071
  6. Step 6: Final answer
    x = 37,269,291.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.