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Finding the Third Proportional to 6,875,961.75 and 9,305,001

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Solution

The third proportional to 6,875,961.75 and 9,305,001 is: 12,592,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,961.75 : 9,305,001 = 9,305,001 : x
  2. Step 2: Convert to fraction form
    6,875,961.75/9,305,001 = 9,305,001/x
  3. Step 3: Cross multiply
    6,875,961.75x = 9,305,001 × 9,305,001
  4. Step 4: Simplify right side
    6,875,961.75x = 86,583,043,610,001
  5. Step 5: Solve for x
    x = 86,583,043,610,001/6,875,961.75
  6. Step 6: Final answer
    x = 12,592,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.