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Finding the Third Proportional to 7,635,359 and 16,466,278

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Solution

The third proportional to 7,635,359 and 16,466,278 is: 35,510,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635,359 : 16,466,278 = 16,466,278 : x
  2. Step 2: Convert to fraction form
    7,635,359/16,466,278 = 16,466,278/x
  3. Step 3: Cross multiply
    7,635,359x = 16,466,278 × 16,466,278
  4. Step 4: Simplify right side
    7,635,359x = 271,138,311,173,284
  5. Step 5: Solve for x
    x = 271,138,311,173,284/7,635,359
  6. Step 6: Final answer
    x = 35,510,879.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.