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Finding the Third Proportional to 2,017,757,222 and 2,840,208,623

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Solution

The third proportional to 2,017,757,222 and 2,840,208,623 is: 3,997,896,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017,757,222 : 2,840,208,623 = 2,840,208,623 : x
  2. Step 2: Convert to fraction form
    2,017,757,222/2,840,208,623 = 2,840,208,623/x
  3. Step 3: Cross multiply
    2,017,757,222x = 2,840,208,623 × 2,840,208,623
  4. Step 4: Simplify right side
    2,017,757,222x = 8,066,785,022,163,556,352
  5. Step 5: Solve for x
    x = 8,066,785,022,163,556,352/2,017,757,222
  6. Step 6: Final answer
    x = 3,997,896,741.10

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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.