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Finding the Third Proportional to 7,478,290 and 16,266,847

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Solution

The third proportional to 7,478,290 and 16,266,847 is: 35,383,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,290 : 16,266,847 = 16,266,847 : x
  2. Step 2: Convert to fraction form
    7,478,290/16,266,847 = 16,266,847/x
  3. Step 3: Cross multiply
    7,478,290x = 16,266,847 × 16,266,847
  4. Step 4: Simplify right side
    7,478,290x = 264,610,311,321,409
  5. Step 5: Solve for x
    x = 264,610,311,321,409/7,478,290
  6. Step 6: Final answer
    x = 35,383,799.15

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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.