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Finding the Third Proportional to 17,989,682 and 27,634,354

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Solution

The third proportional to 17,989,682 and 27,634,354 is: 42,449,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989,682 : 27,634,354 = 27,634,354 : x
  2. Step 2: Convert to fraction form
    17,989,682/27,634,354 = 27,634,354/x
  3. Step 3: Cross multiply
    17,989,682x = 27,634,354 × 27,634,354
  4. Step 4: Simplify right side
    17,989,682x = 763,657,520,997,316
  5. Step 5: Solve for x
    x = 763,657,520,997,316/17,989,682
  6. Step 6: Final answer
    x = 42,449,750.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.