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Finding the Third Proportional to 294,548,900 and 640,811,884

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Solution

The third proportional to 294,548,900 and 640,811,884 is: 1,394,131,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,548,900 : 640,811,884 = 640,811,884 : x
  2. Step 2: Convert to fraction form
    294,548,900/640,811,884 = 640,811,884/x
  3. Step 3: Cross multiply
    294,548,900x = 640,811,884 × 640,811,884
  4. Step 4: Simplify right side
    294,548,900x = 410,639,870,675,629,440
  5. Step 5: Solve for x
    x = 410,639,870,675,629,440/294,548,900
  6. Step 6: Final answer
    x = 1,394,131,401.19

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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.