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Finding the Third Proportional to 3,077,124 and 6,733,344

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Solution

The third proportional to 3,077,124 and 6,733,344 is: 14,733,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077,124 : 6,733,344 = 6,733,344 : x
  2. Step 2: Convert to fraction form
    3,077,124/6,733,344 = 6,733,344/x
  3. Step 3: Cross multiply
    3,077,124x = 6,733,344 × 6,733,344
  4. Step 4: Simplify right side
    3,077,124x = 45,337,921,422,336
  5. Step 5: Solve for x
    x = 45,337,921,422,336/3,077,124
  6. Step 6: Final answer
    x = 14,733,862.34

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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.