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Finding the Third Proportional to 6,380,910 and 9,807,873

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Solution

The third proportional to 6,380,910 and 9,807,873 is: 15,075,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,910 : 9,807,873 = 9,807,873 : x
  2. Step 2: Convert to fraction form
    6,380,910/9,807,873 = 9,807,873/x
  3. Step 3: Cross multiply
    6,380,910x = 9,807,873 × 9,807,873
  4. Step 4: Simplify right side
    6,380,910x = 96,194,372,784,129
  5. Step 5: Solve for x
    x = 96,194,372,784,129/6,380,910
  6. Step 6: Final answer
    x = 15,075,337.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.