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Finding the Third Proportional to 294,691,320 and 641,663,766

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Solution

The third proportional to 294,691,320 and 641,663,766 is: 1,397,164,967.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,691,320 : 641,663,766 = 641,663,766 : x
  2. Step 2: Convert to fraction form
    294,691,320/641,663,766 = 641,663,766/x
  3. Step 3: Cross multiply
    294,691,320x = 641,663,766 × 641,663,766
  4. Step 4: Simplify right side
    294,691,320x = 411,732,388,597,302,784
  5. Step 5: Solve for x
    x = 411,732,388,597,302,784/294,691,320
  6. Step 6: Final answer
    x = 1,397,164,967.73

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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.