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Finding the Third Proportional to 7,478,274 and 16,266,819

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Solution

The third proportional to 7,478,274 and 16,266,819 is: 35,383,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,274 : 16,266,819 = 16,266,819 : x
  2. Step 2: Convert to fraction form
    7,478,274/16,266,819 = 16,266,819/x
  3. Step 3: Cross multiply
    7,478,274x = 16,266,819 × 16,266,819
  4. Step 4: Simplify right side
    7,478,274x = 264,609,400,378,761
  5. Step 5: Solve for x
    x = 264,609,400,378,761/7,478,274
  6. Step 6: Final answer
    x = 35,383,753.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.