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Finding the Third Proportional to 1,017,447,823 and 2,203,923,638

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Solution

The third proportional to 1,017,447,823 and 2,203,923,638 is: 4,773,983,778.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,447,823 : 2,203,923,638 = 2,203,923,638 : x
  2. Step 2: Convert to fraction form
    1,017,447,823/2,203,923,638 = 2,203,923,638/x
  3. Step 3: Cross multiply
    1,017,447,823x = 2,203,923,638 × 2,203,923,638
  4. Step 4: Simplify right side
    1,017,447,823x = 4,857,279,402,135,154,688
  5. Step 5: Solve for x
    x = 4,857,279,402,135,154,688/1,017,447,823
  6. Step 6: Final answer
    x = 4,773,983,778.17

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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.