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Finding the Third Proportional to 5,905,533.75 and 12,282,472.13

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Solution

The third proportional to 5,905,533.75 and 12,282,472.13 is: 25,545,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905,533.75 : 12,282,472.13 = 12,282,472.13 : x
  2. Step 2: Convert to fraction form
    5,905,533.75/12,282,472.13 = 12,282,472.13/x
  3. Step 3: Cross multiply
    5,905,533.75x = 12,282,472.13 × 12,282,472.13
  4. Step 4: Simplify right side
    5,905,533.75x = 150,859,121,501,402
  5. Step 5: Solve for x
    x = 150,859,121,501,402/5,905,533.75
  6. Step 6: Final answer
    x = 25,545,383.01

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.