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Finding the Third Proportional to 3,749,409.75 and 5,599,576.13

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Solution

The third proportional to 3,749,409.75 and 5,599,576.13 is: 8,362,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749,409.75 : 5,599,576.13 = 5,599,576.13 : x
  2. Step 2: Convert to fraction form
    3,749,409.75/5,599,576.13 = 5,599,576.13/x
  3. Step 3: Cross multiply
    3,749,409.75x = 5,599,576.13 × 5,599,576.13
  4. Step 4: Simplify right side
    3,749,409.75x = 31,355,252,779,670.02
  5. Step 5: Solve for x
    x = 31,355,252,779,670.02/3,749,409.75
  6. Step 6: Final answer
    x = 8,362,717.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.