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Finding the Third Proportional to 4,087,092.94 and 9,634,418.44

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Solution

The third proportional to 4,087,092.94 and 9,634,418.44 is: 22,711,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087,092.94 : 9,634,418.44 = 9,634,418.44 : x
  2. Step 2: Convert to fraction form
    4,087,092.94/9,634,418.44 = 9,634,418.44/x
  3. Step 3: Cross multiply
    4,087,092.94x = 9,634,418.44 × 9,634,418.44
  4. Step 4: Simplify right side
    4,087,092.94x = 92,822,018,628,839.94
  5. Step 5: Solve for x
    x = 92,822,018,628,839.94/4,087,092.94
  6. Step 6: Final answer
    x = 22,711,012.46

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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.