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Finding the Third Proportional to 1,017,447,789 and 2,203,923,570

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Solution

The third proportional to 1,017,447,789 and 2,203,923,570 is: 4,773,983,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,447,789 : 2,203,923,570 = 2,203,923,570 : x
  2. Step 2: Convert to fraction form
    1,017,447,789/2,203,923,570 = 2,203,923,570/x
  3. Step 3: Cross multiply
    1,017,447,789x = 2,203,923,570 × 2,203,923,570
  4. Step 4: Simplify right side
    1,017,447,789x = 4,857,279,102,401,545,216
  5. Step 5: Solve for x
    x = 4,857,279,102,401,545,216/1,017,447,789
  6. Step 6: Final answer
    x = 4,773,983,643.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.