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Finding the Third Proportional to 5,463,746 and 8,018,475

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Solution

The third proportional to 5,463,746 and 8,018,475 is: 11,767,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463,746 : 8,018,475 = 8,018,475 : x
  2. Step 2: Convert to fraction form
    5,463,746/8,018,475 = 8,018,475/x
  3. Step 3: Cross multiply
    5,463,746x = 8,018,475 × 8,018,475
  4. Step 4: Simplify right side
    5,463,746x = 64,295,941,325,625
  5. Step 5: Solve for x
    x = 64,295,941,325,625/5,463,746
  6. Step 6: Final answer
    x = 11,767,739.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.