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Finding the Third Proportional to 5,710,032 and 8,407,296

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Solution

The third proportional to 5,710,032 and 8,407,296 is: 12,378,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,032 : 8,407,296 = 8,407,296 : x
  2. Step 2: Convert to fraction form
    5,710,032/8,407,296 = 8,407,296/x
  3. Step 3: Cross multiply
    5,710,032x = 8,407,296 × 8,407,296
  4. Step 4: Simplify right side
    5,710,032x = 70,682,626,031,616
  5. Step 5: Solve for x
    x = 70,682,626,031,616/5,710,032
  6. Step 6: Final answer
    x = 12,378,674.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.