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Finding the Third Proportional to 7,618,834 and 16,270,932

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Solution

The third proportional to 7,618,834 and 16,270,932 is: 34,748,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,618,834 : 16,270,932 = 16,270,932 : x
  2. Step 2: Convert to fraction form
    7,618,834/16,270,932 = 16,270,932/x
  3. Step 3: Cross multiply
    7,618,834x = 16,270,932 × 16,270,932
  4. Step 4: Simplify right side
    7,618,834x = 264,743,228,148,624
  5. Step 5: Solve for x
    x = 264,743,228,148,624/7,618,834
  6. Step 6: Final answer
    x = 34,748,522.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.