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Finding the Third Proportional to 27,464,538 and 40,356,018

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Solution

The third proportional to 27,464,538 and 40,356,018 is: 59,298,583.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464,538 : 40,356,018 = 40,356,018 : x
  2. Step 2: Convert to fraction form
    27,464,538/40,356,018 = 40,356,018/x
  3. Step 3: Cross multiply
    27,464,538x = 40,356,018 × 40,356,018
  4. Step 4: Simplify right side
    27,464,538x = 1,628,608,188,816,324
  5. Step 5: Solve for x
    x = 1,628,608,188,816,324/27,464,538
  6. Step 6: Final answer
    x = 59,298,583.10

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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.