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Finding the Third Proportional to 7,257,758 and 11,950,659

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Solution

The third proportional to 7,257,758 and 11,950,659 is: 19,678,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257,758 : 11,950,659 = 11,950,659 : x
  2. Step 2: Convert to fraction form
    7,257,758/11,950,659 = 11,950,659/x
  3. Step 3: Cross multiply
    7,257,758x = 11,950,659 × 11,950,659
  4. Step 4: Simplify right side
    7,257,758x = 142,818,250,534,281
  5. Step 5: Solve for x
    x = 142,818,250,534,281/7,257,758
  6. Step 6: Final answer
    x = 19,678,012.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.