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Finding the Third Proportional to 6,463,079 and 9,828,908

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Solution

The third proportional to 6,463,079 and 9,828,908 is: 14,947,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463,079 : 9,828,908 = 9,828,908 : x
  2. Step 2: Convert to fraction form
    6,463,079/9,828,908 = 9,828,908/x
  3. Step 3: Cross multiply
    6,463,079x = 9,828,908 × 9,828,908
  4. Step 4: Simplify right side
    6,463,079x = 96,607,432,472,464
  5. Step 5: Solve for x
    x = 96,607,432,472,464/6,463,079
  6. Step 6: Final answer
    x = 14,947,586.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.