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Finding the Third Proportional to 7,478,282 and 16,266,836

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Solution

The third proportional to 7,478,282 and 16,266,836 is: 35,383,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,282 : 16,266,836 = 16,266,836 : x
  2. Step 2: Convert to fraction form
    7,478,282/16,266,836 = 16,266,836/x
  3. Step 3: Cross multiply
    7,478,282x = 16,266,836 × 16,266,836
  4. Step 4: Simplify right side
    7,478,282x = 264,609,953,450,896
  5. Step 5: Solve for x
    x = 264,609,953,450,896/7,478,282
  6. Step 6: Final answer
    x = 35,383,789.14

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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.