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Finding the Third Proportional to 7,982,832 and 17,476,948.50

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Solution

The third proportional to 7,982,832 and 17,476,948.50 is: 38,262,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982,832 : 17,476,948.50 = 17,476,948.50 : x
  2. Step 2: Convert to fraction form
    7,982,832/17,476,948.50 = 17,476,948.50/x
  3. Step 3: Cross multiply
    7,982,832x = 17,476,948.50 × 17,476,948.50
  4. Step 4: Simplify right side
    7,982,832x = 305,443,728,871,652.25
  5. Step 5: Solve for x
    x = 305,443,728,871,652.25/7,982,832
  6. Step 6: Final answer
    x = 38,262,577.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.