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Finding the Third Proportional to 12,407,823 and 27,264,808.50

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Solution

The third proportional to 12,407,823 and 27,264,808.50 is: 59,911,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407,823 : 27,264,808.50 = 27,264,808.50 : x
  2. Step 2: Convert to fraction form
    12,407,823/27,264,808.50 = 27,264,808.50/x
  3. Step 3: Cross multiply
    12,407,823x = 27,264,808.50 × 27,264,808.50
  4. Step 4: Simplify right side
    12,407,823x = 743,369,782,541,672.25
  5. Step 5: Solve for x
    x = 743,369,782,541,672.25/12,407,823
  6. Step 6: Final answer
    x = 59,911,378.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.