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Finding the Third Proportional to 6,551,342 and 14,175,772

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Solution

The third proportional to 6,551,342 and 14,175,772 is: 30,673,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,342 : 14,175,772 = 14,175,772 : x
  2. Step 2: Convert to fraction form
    6,551,342/14,175,772 = 14,175,772/x
  3. Step 3: Cross multiply
    6,551,342x = 14,175,772 × 14,175,772
  4. Step 4: Simplify right side
    6,551,342x = 200,952,511,795,984
  5. Step 5: Solve for x
    x = 200,952,511,795,984/6,551,342
  6. Step 6: Final answer
    x = 30,673,488.24

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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.