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Finding the Third Proportional to 6,375,484.69 and 13,758,477.75

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Solution

The third proportional to 6,375,484.69 and 13,758,477.75 is: 29,691,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375,484.69 : 13,758,477.75 = 13,758,477.75 : x
  2. Step 2: Convert to fraction form
    6,375,484.69/13,758,477.75 = 13,758,477.75/x
  3. Step 3: Cross multiply
    6,375,484.69x = 13,758,477.75 × 13,758,477.75
  4. Step 4: Simplify right side
    6,375,484.69x = 189,295,709,997,245.06
  5. Step 5: Solve for x
    x = 189,295,709,997,245.06/6,375,484.69
  6. Step 6: Final answer
    x = 29,691,187.30

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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.