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Finding the Third Proportional to 6,078,942 and 9,625,824

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Solution

The third proportional to 6,078,942 and 9,625,824 is: 15,242,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078,942 : 9,625,824 = 9,625,824 : x
  2. Step 2: Convert to fraction form
    6,078,942/9,625,824 = 9,625,824/x
  3. Step 3: Cross multiply
    6,078,942x = 9,625,824 × 9,625,824
  4. Step 4: Simplify right side
    6,078,942x = 92,656,487,678,976
  5. Step 5: Solve for x
    x = 92,656,487,678,976/6,078,942
  6. Step 6: Final answer
    x = 15,242,206.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.