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Finding the Third Proportional to 5,463,866.25 and 8,018,652.38

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Solution

The third proportional to 5,463,866.25 and 8,018,652.38 is: 11,768,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463,866.25 : 8,018,652.38 = 8,018,652.38 : x
  2. Step 2: Convert to fraction form
    5,463,866.25/8,018,652.38 = 8,018,652.38/x
  3. Step 3: Cross multiply
    5,463,866.25x = 8,018,652.38 × 8,018,652.38
  4. Step 4: Simplify right side
    5,463,866.25x = 64,298,785,911,093.14
  5. Step 5: Solve for x
    x = 64,298,785,911,093.14/5,463,866.25
  6. Step 6: Final answer
    x = 11,768,001.44

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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.