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Finding the Third Proportional to 1,485,777,072 and 2,232,409,608

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Solution

The third proportional to 1,485,777,072 and 2,232,409,608 is: 3,354,239,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485,777,072 : 2,232,409,608 = 2,232,409,608 : x
  2. Step 2: Convert to fraction form
    1,485,777,072/2,232,409,608 = 2,232,409,608/x
  3. Step 3: Cross multiply
    1,485,777,072x = 2,232,409,608 × 2,232,409,608
  4. Step 4: Simplify right side
    1,485,777,072x = 4,983,652,657,890,713,600
  5. Step 5: Solve for x
    x = 4,983,652,657,890,713,600/1,485,777,072
  6. Step 6: Final answer
    x = 3,354,239,846.48

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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.