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Finding the Third Proportional to 6,670,494 and 14,560,821

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Solution

The third proportional to 6,670,494 and 14,560,821 is: 31,784,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670,494 : 14,560,821 = 14,560,821 : x
  2. Step 2: Convert to fraction form
    6,670,494/14,560,821 = 14,560,821/x
  3. Step 3: Cross multiply
    6,670,494x = 14,560,821 × 14,560,821
  4. Step 4: Simplify right side
    6,670,494x = 212,017,508,194,041
  5. Step 5: Solve for x
    x = 212,017,508,194,041/6,670,494
  6. Step 6: Final answer
    x = 31,784,378.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.