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Finding the Third Proportional to 6,931,530 and 15,456,843

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Solution

The third proportional to 6,931,530 and 15,456,843 is: 34,467,714.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,530 : 15,456,843 = 15,456,843 : x
  2. Step 2: Convert to fraction form
    6,931,530/15,456,843 = 15,456,843/x
  3. Step 3: Cross multiply
    6,931,530x = 15,456,843 × 15,456,843
  4. Step 4: Simplify right side
    6,931,530x = 238,913,995,526,649
  5. Step 5: Solve for x
    x = 238,913,995,526,649/6,931,530
  6. Step 6: Final answer
    x = 34,467,714.27

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.