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Finding the Third Proportional to 5,785,230 and 12,049,299.50

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Solution

The third proportional to 5,785,230 and 12,049,299.50 is: 25,095,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785,230 : 12,049,299.50 = 12,049,299.50 : x
  2. Step 2: Convert to fraction form
    5,785,230/12,049,299.50 = 12,049,299.50/x
  3. Step 3: Cross multiply
    5,785,230x = 12,049,299.50 × 12,049,299.50
  4. Step 4: Simplify right side
    5,785,230x = 145,185,618,440,700.25
  5. Step 5: Solve for x
    x = 145,185,618,440,700.25/5,785,230
  6. Step 6: Final answer
    x = 25,095,911.22

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Why These Related Problems?

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