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Finding the Third Proportional to 1,603,436,986 and 3,353,480,246

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Solution

The third proportional to 1,603,436,986 and 3,353,480,246 is: 7,013,577,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,436,986 : 3,353,480,246 = 3,353,480,246 : x
  2. Step 2: Convert to fraction form
    1,603,436,986/3,353,480,246 = 3,353,480,246/x
  3. Step 3: Cross multiply
    1,603,436,986x = 3,353,480,246 × 3,353,480,246
  4. Step 4: Simplify right side
    1,603,436,986x = 11,245,829,760,312,219,648
  5. Step 5: Solve for x
    x = 11,245,829,760,312,219,648/1,603,436,986
  6. Step 6: Final answer
    x = 7,013,577,620.14

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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.