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Finding the Third Proportional to 1,197,705,352.50 and 2,606,311,771.31

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Solution

The third proportional to 1,197,705,352.50 and 2,606,311,771.31 is: 5,671,562,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,705,352.50 : 2,606,311,771.31 = 2,606,311,771.31 : x
  2. Step 2: Convert to fraction form
    1,197,705,352.50/2,606,311,771.31 = 2,606,311,771.31/x
  3. Step 3: Cross multiply
    1,197,705,352.50x = 2,606,311,771.31 × 2,606,311,771.31
  4. Step 4: Simplify right side
    1,197,705,352.50x = 6,792,861,049,282,101,248
  5. Step 5: Solve for x
    x = 6,792,861,049,282,101,248/1,197,705,352.50
  6. Step 6: Final answer
    x = 5,671,562,738.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.