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Finding the Third Proportional to 45,750,646 and 100,569,728

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Solution

The third proportional to 45,750,646 and 100,569,728 is: 221,073,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,750,646 : 100,569,728 = 100,569,728 : x
  2. Step 2: Convert to fraction form
    45,750,646/100,569,728 = 100,569,728/x
  3. Step 3: Cross multiply
    45,750,646x = 100,569,728 × 100,569,728
  4. Step 4: Simplify right side
    45,750,646x = 10,114,270,189,993,984
  5. Step 5: Solve for x
    x = 10,114,270,189,993,984/45,750,646
  6. Step 6: Final answer
    x = 221,073,822.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.