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Finding the Third Proportional to 5,150,906 and 6,995,610

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Solution

The third proportional to 5,150,906 and 6,995,610 is: 9,500,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150,906 : 6,995,610 = 6,995,610 : x
  2. Step 2: Convert to fraction form
    5,150,906/6,995,610 = 6,995,610/x
  3. Step 3: Cross multiply
    5,150,906x = 6,995,610 × 6,995,610
  4. Step 4: Simplify right side
    5,150,906x = 48,938,559,272,100
  5. Step 5: Solve for x
    x = 48,938,559,272,100/5,150,906
  6. Step 6: Final answer
    x = 9,500,961.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.