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Finding the Third Proportional to 7,580,471 and 11,367,007

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Solution

The third proportional to 7,580,471 and 11,367,007 is: 17,044,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,471 : 11,367,007 = 11,367,007 : x
  2. Step 2: Convert to fraction form
    7,580,471/11,367,007 = 11,367,007/x
  3. Step 3: Cross multiply
    7,580,471x = 11,367,007 × 11,367,007
  4. Step 4: Simplify right side
    7,580,471x = 129,208,848,138,049
  5. Step 5: Solve for x
    x = 129,208,848,138,049/7,580,471
  6. Step 6: Final answer
    x = 17,044,963.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.