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Finding the Third Proportional to 10,366,474 and 14,289,980

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Solution

The third proportional to 10,366,474 and 14,289,980 is: 19,698,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366,474 : 14,289,980 = 14,289,980 : x
  2. Step 2: Convert to fraction form
    10,366,474/14,289,980 = 14,289,980/x
  3. Step 3: Cross multiply
    10,366,474x = 14,289,980 × 14,289,980
  4. Step 4: Simplify right side
    10,366,474x = 204,203,528,400,400
  5. Step 5: Solve for x
    x = 204,203,528,400,400/10,366,474
  6. Step 6: Final answer
    x = 19,698,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.