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Finding the Third Proportional to 412,563,078 and 618,844,698

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Solution

The third proportional to 412,563,078 and 618,844,698 is: 928,267,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,563,078 : 618,844,698 = 618,844,698 : x
  2. Step 2: Convert to fraction form
    412,563,078/618,844,698 = 618,844,698/x
  3. Step 3: Cross multiply
    412,563,078x = 618,844,698 × 618,844,698
  4. Step 4: Simplify right side
    412,563,078x = 382,968,760,242,711,232
  5. Step 5: Solve for x
    x = 382,968,760,242,711,232/412,563,078
  6. Step 6: Final answer
    x = 928,267,168.50

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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.