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Finding the Third Proportional to 8,283,050 and 16,967,617

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Solution

The third proportional to 8,283,050 and 16,967,617 is: 34,757,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283,050 : 16,967,617 = 16,967,617 : x
  2. Step 2: Convert to fraction form
    8,283,050/16,967,617 = 16,967,617/x
  3. Step 3: Cross multiply
    8,283,050x = 16,967,617 × 16,967,617
  4. Step 4: Simplify right side
    8,283,050x = 287,900,026,658,689
  5. Step 5: Solve for x
    x = 287,900,026,658,689/8,283,050
  6. Step 6: Final answer
    x = 34,757,731.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.