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Finding the Third Proportional to 4,676,616 and 10,049,416

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Solution

The third proportional to 4,676,616 and 10,049,416 is: 21,594,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,616 : 10,049,416 = 10,049,416 : x
  2. Step 2: Convert to fraction form
    4,676,616/10,049,416 = 10,049,416/x
  3. Step 3: Cross multiply
    4,676,616x = 10,049,416 × 10,049,416
  4. Step 4: Simplify right side
    4,676,616x = 100,990,761,941,056
  5. Step 5: Solve for x
    x = 100,990,761,941,056/4,676,616
  6. Step 6: Final answer
    x = 21,594,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.