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Finding the Third Proportional to 2,017,757,220 and 2,840,208,620

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Solution

The third proportional to 2,017,757,220 and 2,840,208,620 is: 3,997,896,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017,757,220 : 2,840,208,620 = 2,840,208,620 : x
  2. Step 2: Convert to fraction form
    2,017,757,220/2,840,208,620 = 2,840,208,620/x
  3. Step 3: Cross multiply
    2,017,757,220x = 2,840,208,620 × 2,840,208,620
  4. Step 4: Simplify right side
    2,017,757,220x = 8,066,785,005,122,304,000
  5. Step 5: Solve for x
    x = 8,066,785,005,122,304,000/2,017,757,220
  6. Step 6: Final answer
    x = 3,997,896,736.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.