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Finding the Third Proportional to 3,412,704 and 7,468,224

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Solution

The third proportional to 3,412,704 and 7,468,224 is: 16,343,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412,704 : 7,468,224 = 7,468,224 : x
  2. Step 2: Convert to fraction form
    3,412,704/7,468,224 = 7,468,224/x
  3. Step 3: Cross multiply
    3,412,704x = 7,468,224 × 7,468,224
  4. Step 4: Simplify right side
    3,412,704x = 55,774,369,714,176
  5. Step 5: Solve for x
    x = 55,774,369,714,176/3,412,704
  6. Step 6: Final answer
    x = 16,343,160.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.