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Finding the Third Proportional to 3,027,024 and 6,513,264

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Solution

The third proportional to 3,027,024 and 6,513,264 is: 14,014,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027,024 : 6,513,264 = 6,513,264 : x
  2. Step 2: Convert to fraction form
    3,027,024/6,513,264 = 6,513,264/x
  3. Step 3: Cross multiply
    3,027,024x = 6,513,264 × 6,513,264
  4. Step 4: Simplify right side
    3,027,024x = 42,422,607,933,696
  5. Step 5: Solve for x
    x = 42,422,607,933,696/3,027,024
  6. Step 6: Final answer
    x = 14,014,625.56

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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.