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Finding the Third Proportional to 294,548,937.75 and 640,811,844.75

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Solution

The third proportional to 294,548,937.75 and 640,811,844.75 is: 1,394,131,051.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,548,937.75 : 640,811,844.75 = 640,811,844.75 : x
  2. Step 2: Convert to fraction form
    294,548,937.75/640,811,844.75 = 640,811,844.75/x
  3. Step 3: Cross multiply
    294,548,937.75x = 640,811,844.75 × 640,811,844.75
  4. Step 4: Simplify right side
    294,548,937.75x = 410,639,820,371,898,112
  5. Step 5: Solve for x
    x = 410,639,820,371,898,112/294,548,937.75
  6. Step 6: Final answer
    x = 1,394,131,051.73

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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.