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Finding the Third Proportional to 4,859,240,990 and 7,257,019,251

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Solution

The third proportional to 4,859,240,990 and 7,257,019,251 is: 10,837,974,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859,240,990 : 7,257,019,251 = 7,257,019,251 : x
  2. Step 2: Convert to fraction form
    4,859,240,990/7,257,019,251 = 7,257,019,251/x
  3. Step 3: Cross multiply
    4,859,240,990x = 7,257,019,251 × 7,257,019,251
  4. Step 4: Simplify right side
    4,859,240,990x = 52,664,328,409,384,599,552
  5. Step 5: Solve for x
    x = 52,664,328,409,384,599,552/4,859,240,990
  6. Step 6: Final answer
    x = 10,837,974,185.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.