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Finding the Third Proportional to 8,385,764 and 17,967,452

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Solution

The third proportional to 8,385,764 and 17,967,452 is: 38,497,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,764 : 17,967,452 = 17,967,452 : x
  2. Step 2: Convert to fraction form
    8,385,764/17,967,452 = 17,967,452/x
  3. Step 3: Cross multiply
    8,385,764x = 17,967,452 × 17,967,452
  4. Step 4: Simplify right side
    8,385,764x = 322,829,331,372,304
  5. Step 5: Solve for x
    x = 322,829,331,372,304/8,385,764
  6. Step 6: Final answer
    x = 38,497,307.03

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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.