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Finding the Third Proportional to 12,802,760 and 27,803,488

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Solution

The third proportional to 12,802,760 and 27,803,488 is: 60,380,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802,760 : 27,803,488 = 27,803,488 : x
  2. Step 2: Convert to fraction form
    12,802,760/27,803,488 = 27,803,488/x
  3. Step 3: Cross multiply
    12,802,760x = 27,803,488 × 27,803,488
  4. Step 4: Simplify right side
    12,802,760x = 773,033,944,966,144
  5. Step 5: Solve for x
    x = 773,033,944,966,144/12,802,760
  6. Step 6: Final answer
    x = 60,380,257.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.