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Finding the Third Proportional to 12,777,470 and 27,710,824

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Solution

The third proportional to 12,777,470 and 27,710,824 is: 60,097,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777,470 : 27,710,824 = 27,710,824 : x
  2. Step 2: Convert to fraction form
    12,777,470/27,710,824 = 27,710,824/x
  3. Step 3: Cross multiply
    12,777,470x = 27,710,824 × 27,710,824
  4. Step 4: Simplify right side
    12,777,470x = 767,889,766,758,976
  5. Step 5: Solve for x
    x = 767,889,766,758,976/12,777,470
  6. Step 6: Final answer
    x = 60,097,168.43

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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.