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Finding the Third Proportional to 7,580,274 and 16,437,384

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Solution

The third proportional to 7,580,274 and 16,437,384 is: 35,643,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580,274 : 16,437,384 = 16,437,384 : x
  2. Step 2: Convert to fraction form
    7,580,274/16,437,384 = 16,437,384/x
  3. Step 3: Cross multiply
    7,580,274x = 16,437,384 × 16,437,384
  4. Step 4: Simplify right side
    7,580,274x = 270,187,592,763,456
  5. Step 5: Solve for x
    x = 270,187,592,763,456/7,580,274
  6. Step 6: Final answer
    x = 35,643,512.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.