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Finding the Third Proportional to 6,286,551.75 and 9,610,255.13

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Solution

The third proportional to 6,286,551.75 and 9,610,255.13 is: 14,691,202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286,551.75 : 9,610,255.13 = 9,610,255.13 : x
  2. Step 2: Convert to fraction form
    6,286,551.75/9,610,255.13 = 9,610,255.13/x
  3. Step 3: Cross multiply
    6,286,551.75x = 9,610,255.13 × 9,610,255.13
  4. Step 4: Simplify right side
    6,286,551.75x = 92,357,003,567,588.77
  5. Step 5: Solve for x
    x = 92,357,003,567,588.77/6,286,551.75
  6. Step 6: Final answer
    x = 14,691,202.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.