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Finding the Third Proportional to 8,348,406.75 and 12,770,896.50

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Solution

The third proportional to 8,348,406.75 and 12,770,896.50 is: 19,536,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,348,406.75 : 12,770,896.50 = 12,770,896.50 : x
  2. Step 2: Convert to fraction form
    8,348,406.75/12,770,896.50 = 12,770,896.50/x
  3. Step 3: Cross multiply
    8,348,406.75x = 12,770,896.50 × 12,770,896.50
  4. Step 4: Simplify right side
    8,348,406.75x = 163,095,797,413,712.25
  5. Step 5: Solve for x
    x = 163,095,797,413,712.25/8,348,406.75
  6. Step 6: Final answer
    x = 19,536,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.