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Finding the Third Proportional to 3,635,184 and 7,646,430

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Solution

The third proportional to 3,635,184 and 7,646,430 is: 16,083,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635,184 : 7,646,430 = 7,646,430 : x
  2. Step 2: Convert to fraction form
    3,635,184/7,646,430 = 7,646,430/x
  3. Step 3: Cross multiply
    3,635,184x = 7,646,430 × 7,646,430
  4. Step 4: Simplify right side
    3,635,184x = 58,467,891,744,900
  5. Step 5: Solve for x
    x = 58,467,891,744,900/3,635,184
  6. Step 6: Final answer
    x = 16,083,887.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.