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Finding the Third Proportional to 3,105,642 and 6,584,532

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Solution

The third proportional to 3,105,642 and 6,584,532 is: 13,960,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,642 : 6,584,532 = 6,584,532 : x
  2. Step 2: Convert to fraction form
    3,105,642/6,584,532 = 6,584,532/x
  3. Step 3: Cross multiply
    3,105,642x = 6,584,532 × 6,584,532
  4. Step 4: Simplify right side
    3,105,642x = 43,356,061,659,024
  5. Step 5: Solve for x
    x = 43,356,061,659,024/3,105,642
  6. Step 6: Final answer
    x = 13,960,418.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.