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Finding the Third Proportional to 1,603,436,982 and 3,353,480,238

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Solution

The third proportional to 1,603,436,982 and 3,353,480,238 is: 7,013,577,604.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,436,982 : 3,353,480,238 = 3,353,480,238 : x
  2. Step 2: Convert to fraction form
    1,603,436,982/3,353,480,238 = 3,353,480,238/x
  3. Step 3: Cross multiply
    1,603,436,982x = 3,353,480,238 × 3,353,480,238
  4. Step 4: Simplify right side
    1,603,436,982x = 11,245,829,706,656,536,576
  5. Step 5: Solve for x
    x = 11,245,829,706,656,536,576/1,603,436,982
  6. Step 6: Final answer
    x = 7,013,577,604.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.