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Finding the Third Proportional to 17,574,262 and 27,209,219

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Solution

The third proportional to 17,574,262 and 27,209,219 is: 42,126,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574,262 : 27,209,219 = 27,209,219 : x
  2. Step 2: Convert to fraction form
    17,574,262/27,209,219 = 27,209,219/x
  3. Step 3: Cross multiply
    17,574,262x = 27,209,219 × 27,209,219
  4. Step 4: Simplify right side
    17,574,262x = 740,341,598,589,961
  5. Step 5: Solve for x
    x = 740,341,598,589,961/17,574,262
  6. Step 6: Final answer
    x = 42,126,468.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.