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Finding the Third Proportional to 6,683,749 and 10,040,409

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Solution

The third proportional to 6,683,749 and 10,040,409 is: 15,082,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,749 : 10,040,409 = 10,040,409 : x
  2. Step 2: Convert to fraction form
    6,683,749/10,040,409 = 10,040,409/x
  3. Step 3: Cross multiply
    6,683,749x = 10,040,409 × 10,040,409
  4. Step 4: Simplify right side
    6,683,749x = 100,809,812,887,281
  5. Step 5: Solve for x
    x = 100,809,812,887,281/6,683,749
  6. Step 6: Final answer
    x = 15,082,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.