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Finding the Third Proportional to 9,023,782 and 19,486,004

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Solution

The third proportional to 9,023,782 and 19,486,004 is: 42,078,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023,782 : 19,486,004 = 19,486,004 : x
  2. Step 2: Convert to fraction form
    9,023,782/19,486,004 = 19,486,004/x
  3. Step 3: Cross multiply
    9,023,782x = 19,486,004 × 19,486,004
  4. Step 4: Simplify right side
    9,023,782x = 379,704,351,888,016
  5. Step 5: Solve for x
    x = 379,704,351,888,016/9,023,782
  6. Step 6: Final answer
    x = 42,078,183.17

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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.