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Finding the Third Proportional to 294,691,048 and 641,663,264

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Solution

The third proportional to 294,691,048 and 641,663,264 is: 1,397,164,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,691,048 : 641,663,264 = 641,663,264 : x
  2. Step 2: Convert to fraction form
    294,691,048/641,663,264 = 641,663,264/x
  3. Step 3: Cross multiply
    294,691,048x = 641,663,264 × 641,663,264
  4. Step 4: Simplify right side
    294,691,048x = 411,731,744,367,133,696
  5. Step 5: Solve for x
    x = 411,731,744,367,133,696/294,691,048
  6. Step 6: Final answer
    x = 1,397,164,071.19

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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.