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Finding the Third Proportional to 6,551,340 and 14,175,768

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Solution

The third proportional to 6,551,340 and 14,175,768 is: 30,673,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551,340 : 14,175,768 = 14,175,768 : x
  2. Step 2: Convert to fraction form
    6,551,340/14,175,768 = 14,175,768/x
  3. Step 3: Cross multiply
    6,551,340x = 14,175,768 × 14,175,768
  4. Step 4: Simplify right side
    6,551,340x = 200,952,398,389,824
  5. Step 5: Solve for x
    x = 200,952,398,389,824/6,551,340
  6. Step 6: Final answer
    x = 30,673,480.29

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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.