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Finding the Third Proportional to 2,975,372 and 6,445,167

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Solution

The third proportional to 2,975,372 and 6,445,167 is: 13,961,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975,372 : 6,445,167 = 6,445,167 : x
  2. Step 2: Convert to fraction form
    2,975,372/6,445,167 = 6,445,167/x
  3. Step 3: Cross multiply
    2,975,372x = 6,445,167 × 6,445,167
  4. Step 4: Simplify right side
    2,975,372x = 41,540,177,657,889
  5. Step 5: Solve for x
    x = 41,540,177,657,889/2,975,372
  6. Step 6: Final answer
    x = 13,961,339.17

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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.