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Finding the Third Proportional to 7,635,327 and 16,363,625

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Solution

The third proportional to 7,635,327 and 16,363,625 is: 35,069,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,327 : 16,363,625 = 16,363,625 : x
  2. Step 2: Convert to fraction form
    7,635,327/16,363,625 = 16,363,625/x
  3. Step 3: Cross multiply
    7,635,327x = 16,363,625 × 16,363,625
  4. Step 4: Simplify right side
    7,635,327x = 267,768,223,140,625
  5. Step 5: Solve for x
    x = 267,768,223,140,625/7,635,327
  6. Step 6: Final answer
    x = 35,069,647.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.