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Finding the Third Proportional to 3,029,407 and 6,563,422

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Solution

The third proportional to 3,029,407 and 6,563,422 is: 14,220,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,407 : 6,563,422 = 6,563,422 : x
  2. Step 2: Convert to fraction form
    3,029,407/6,563,422 = 6,563,422/x
  3. Step 3: Cross multiply
    3,029,407x = 6,563,422 × 6,563,422
  4. Step 4: Simplify right side
    3,029,407x = 43,078,508,350,084
  5. Step 5: Solve for x
    x = 43,078,508,350,084/3,029,407
  6. Step 6: Final answer
    x = 14,220,112.50

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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.