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Finding the Third Proportional to 7,652,677 and 16,650,509

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Solution

The third proportional to 7,652,677 and 16,650,509 is: 36,227,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652,677 : 16,650,509 = 16,650,509 : x
  2. Step 2: Convert to fraction form
    7,652,677/16,650,509 = 16,650,509/x
  3. Step 3: Cross multiply
    7,652,677x = 16,650,509 × 16,650,509
  4. Step 4: Simplify right side
    7,652,677x = 277,239,449,959,081
  5. Step 5: Solve for x
    x = 277,239,449,959,081/7,652,677
  6. Step 6: Final answer
    x = 36,227,773.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.