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Finding the Third Proportional to 7,597,898 and 10,864,266

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Solution

The third proportional to 7,597,898 and 10,864,266 is: 15,534,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597,898 : 10,864,266 = 10,864,266 : x
  2. Step 2: Convert to fraction form
    7,597,898/10,864,266 = 10,864,266/x
  3. Step 3: Cross multiply
    7,597,898x = 10,864,266 × 10,864,266
  4. Step 4: Simplify right side
    7,597,898x = 118,032,275,718,756
  5. Step 5: Solve for x
    x = 118,032,275,718,756/7,597,898
  6. Step 6: Final answer
    x = 15,534,859.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.