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Finding the Third Proportional to 27,993,314 and 41,989,984

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Solution

The third proportional to 27,993,314 and 41,989,984 is: 62,984,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993,314 : 41,989,984 = 41,989,984 : x
  2. Step 2: Convert to fraction form
    27,993,314/41,989,984 = 41,989,984/x
  3. Step 3: Cross multiply
    27,993,314x = 41,989,984 × 41,989,984
  4. Step 4: Simplify right side
    27,993,314x = 1,763,158,756,320,256
  5. Step 5: Solve for x
    x = 1,763,158,756,320,256/27,993,314
  6. Step 6: Final answer
    x = 62,984,995.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.