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Finding the Third Proportional to 6,317,743 and 13,644,217

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Solution

The third proportional to 6,317,743 and 13,644,217 is: 29,466,956.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,743 : 13,644,217 = 13,644,217 : x
  2. Step 2: Convert to fraction form
    6,317,743/13,644,217 = 13,644,217/x
  3. Step 3: Cross multiply
    6,317,743x = 13,644,217 × 13,644,217
  4. Step 4: Simplify right side
    6,317,743x = 186,164,657,543,089
  5. Step 5: Solve for x
    x = 186,164,657,543,089/6,317,743
  6. Step 6: Final answer
    x = 29,466,956.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.