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Finding the Third Proportional to 5,848,455.66 and 13,041,658.13

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Solution

The third proportional to 5,848,455.66 and 13,041,658.13 is: 29,082,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848,455.66 : 13,041,658.13 = 13,041,658.13 : x
  2. Step 2: Convert to fraction form
    5,848,455.66/13,041,658.13 = 13,041,658.13/x
  3. Step 3: Cross multiply
    5,848,455.66x = 13,041,658.13 × 13,041,658.13
  4. Step 4: Simplify right side
    5,848,455.66x = 170,084,846,649,378.50
  5. Step 5: Solve for x
    x = 170,084,846,649,378.50/5,848,455.66
  6. Step 6: Final answer
    x = 29,082,010.13

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.