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Finding the Third Proportional to 7,679,536 and 16,498,728

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Solution

The third proportional to 7,679,536 and 16,498,728 is: 35,445,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,679,536 : 16,498,728 = 16,498,728 : x
  2. Step 2: Convert to fraction form
    7,679,536/16,498,728 = 16,498,728/x
  3. Step 3: Cross multiply
    7,679,536x = 16,498,728 × 16,498,728
  4. Step 4: Simplify right side
    7,679,536x = 272,208,025,617,984
  5. Step 5: Solve for x
    x = 272,208,025,617,984/7,679,536
  6. Step 6: Final answer
    x = 35,445,894.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.