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Finding the Third Proportional to 6,827,720.03 and 14,629,338.49

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Solution

The third proportional to 6,827,720.03 and 14,629,338.49 is: 31,345,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827,720.03 : 14,629,338.49 = 14,629,338.49 : x
  2. Step 2: Convert to fraction form
    6,827,720.03/14,629,338.49 = 14,629,338.49/x
  3. Step 3: Cross multiply
    6,827,720.03x = 14,629,338.49 × 14,629,338.49
  4. Step 4: Simplify right side
    6,827,720.03x = 214,017,544,719,013.44
  5. Step 5: Solve for x
    x = 214,017,544,719,013.44/6,827,720.03
  6. Step 6: Final answer
    x = 31,345,389.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.