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Finding the Third Proportional to 6,380,494 and 9,807,278

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Solution

The third proportional to 6,380,494 and 9,807,278 is: 15,074,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,494 : 9,807,278 = 9,807,278 : x
  2. Step 2: Convert to fraction form
    6,380,494/9,807,278 = 9,807,278/x
  3. Step 3: Cross multiply
    6,380,494x = 9,807,278 × 9,807,278
  4. Step 4: Simplify right side
    6,380,494x = 96,182,701,769,284
  5. Step 5: Solve for x
    x = 96,182,701,769,284/6,380,494
  6. Step 6: Final answer
    x = 15,074,491.37

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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.