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Finding the Third Proportional to 2,965,365 and 6,474,472

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Solution

The third proportional to 2,965,365 and 6,474,472 is: 14,136,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965,365 : 6,474,472 = 6,474,472 : x
  2. Step 2: Convert to fraction form
    2,965,365/6,474,472 = 6,474,472/x
  3. Step 3: Cross multiply
    2,965,365x = 6,474,472 × 6,474,472
  4. Step 4: Simplify right side
    2,965,365x = 41,918,787,678,784
  5. Step 5: Solve for x
    x = 41,918,787,678,784/2,965,365
  6. Step 6: Final answer
    x = 14,136,130.86

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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.