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Finding the Third Proportional to 6,173,409 and 13,294,999.13

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Solution

The third proportional to 6,173,409 and 13,294,999.13 is: 28,631,992.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173,409 : 13,294,999.13 = 13,294,999.13 : x
  2. Step 2: Convert to fraction form
    6,173,409/13,294,999.13 = 13,294,999.13/x
  3. Step 3: Cross multiply
    6,173,409x = 13,294,999.13 × 13,294,999.13
  4. Step 4: Simplify right side
    6,173,409x = 176,757,001,733,750.75
  5. Step 5: Solve for x
    x = 176,757,001,733,750.75/6,173,409
  6. Step 6: Final answer
    x = 28,631,992.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.