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Finding the Third Proportional to 10,219,002 and 14,208,751

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Solution

The third proportional to 10,219,002 and 14,208,751 is: 19,756,195.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,002 : 14,208,751 = 14,208,751 : x
  2. Step 2: Convert to fraction form
    10,219,002/14,208,751 = 14,208,751/x
  3. Step 3: Cross multiply
    10,219,002x = 14,208,751 × 14,208,751
  4. Step 4: Simplify right side
    10,219,002x = 201,888,604,980,001
  5. Step 5: Solve for x
    x = 201,888,604,980,001/10,219,002
  6. Step 6: Final answer
    x = 19,756,195.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.