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Finding the Third Proportional to 49,721,628 and 117,206,562

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Solution

The third proportional to 49,721,628 and 117,206,562 is: 276,285,767.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,721,628 : 117,206,562 = 117,206,562 : x
  2. Step 2: Convert to fraction form
    49,721,628/117,206,562 = 117,206,562/x
  3. Step 3: Cross multiply
    49,721,628x = 117,206,562 × 117,206,562
  4. Step 4: Simplify right side
    49,721,628x = 13,737,378,175,859,844
  5. Step 5: Solve for x
    x = 13,737,378,175,859,844/49,721,628
  6. Step 6: Final answer
    x = 276,285,767.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.