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Finding the Third Proportional to 12,032,167.78 and 17,782,895.67

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Solution

The third proportional to 12,032,167.78 and 17,782,895.67 is: 26,282,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032,167.78 : 17,782,895.67 = 17,782,895.67 : x
  2. Step 2: Convert to fraction form
    12,032,167.78/17,782,895.67 = 17,782,895.67/x
  3. Step 3: Cross multiply
    12,032,167.78x = 17,782,895.67 × 17,782,895.67
  4. Step 4: Simplify right side
    12,032,167.78x = 316,231,378,476,790.62
  5. Step 5: Solve for x
    x = 316,231,378,476,790.62/12,032,167.78
  6. Step 6: Final answer
    x = 26,282,161.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.