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Finding the Third Proportional to 6,530,241 and 10,296,193.50

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Solution

The third proportional to 6,530,241 and 10,296,193.50 is: 16,233,949.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530,241 : 10,296,193.50 = 10,296,193.50 : x
  2. Step 2: Convert to fraction form
    6,530,241/10,296,193.50 = 10,296,193.50/x
  3. Step 3: Cross multiply
    6,530,241x = 10,296,193.50 × 10,296,193.50
  4. Step 4: Simplify right side
    6,530,241x = 106,011,600,589,442.25
  5. Step 5: Solve for x
    x = 106,011,600,589,442.25/6,530,241
  6. Step 6: Final answer
    x = 16,233,949.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.