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Finding the Third Proportional to 17,989,764 and 27,634,476

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Solution

The third proportional to 17,989,764 and 27,634,476 is: 42,449,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,989,764 : 27,634,476 = 27,634,476 : x
  2. Step 2: Convert to fraction form
    17,989,764/27,634,476 = 27,634,476/x
  3. Step 3: Cross multiply
    17,989,764x = 27,634,476 × 27,634,476
  4. Step 4: Simplify right side
    17,989,764x = 763,664,263,794,576
  5. Step 5: Solve for x
    x = 763,664,263,794,576/17,989,764
  6. Step 6: Final answer
    x = 42,449,932.29

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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.