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Finding the Third Proportional to 6,640,296 and 9,770,564

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Solution

The third proportional to 6,640,296 and 9,770,564 is: 14,376,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640,296 : 9,770,564 = 9,770,564 : x
  2. Step 2: Convert to fraction form
    6,640,296/9,770,564 = 9,770,564/x
  3. Step 3: Cross multiply
    6,640,296x = 9,770,564 × 9,770,564
  4. Step 4: Simplify right side
    6,640,296x = 95,463,920,878,096
  5. Step 5: Solve for x
    x = 95,463,920,878,096/6,640,296
  6. Step 6: Final answer
    x = 14,376,455.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.