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Finding the Third Proportional to 7,276,742 and 14,767,314

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Solution

The third proportional to 7,276,742 and 14,767,314 is: 29,968,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,276,742 : 14,767,314 = 14,767,314 : x
  2. Step 2: Convert to fraction form
    7,276,742/14,767,314 = 14,767,314/x
  3. Step 3: Cross multiply
    7,276,742x = 14,767,314 × 14,767,314
  4. Step 4: Simplify right side
    7,276,742x = 218,073,562,774,596
  5. Step 5: Solve for x
    x = 218,073,562,774,596/7,276,742
  6. Step 6: Final answer
    x = 29,968,571.48

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.