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Finding the Third Proportional to 7,900,024 and 16,919,801

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Solution

The third proportional to 7,900,024 and 16,919,801 is: 36,237,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900,024 : 16,919,801 = 16,919,801 : x
  2. Step 2: Convert to fraction form
    7,900,024/16,919,801 = 16,919,801/x
  3. Step 3: Cross multiply
    7,900,024x = 16,919,801 × 16,919,801
  4. Step 4: Simplify right side
    7,900,024x = 286,279,665,879,601
  5. Step 5: Solve for x
    x = 286,279,665,879,601/7,900,024
  6. Step 6: Final answer
    x = 36,237,822.30

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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.