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Finding the Third Proportional to 12,322,685.25 and 27,478,741.50

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Solution

The third proportional to 12,322,685.25 and 27,478,741.50 is: 61,275,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,685.25 : 27,478,741.50 = 27,478,741.50 : x
  2. Step 2: Convert to fraction form
    12,322,685.25/27,478,741.50 = 27,478,741.50/x
  3. Step 3: Cross multiply
    12,322,685.25x = 27,478,741.50 × 27,478,741.50
  4. Step 4: Simplify right side
    12,322,685.25x = 755,081,234,423,822.25
  5. Step 5: Solve for x
    x = 755,081,234,423,822.25/12,322,685.25
  6. Step 6: Final answer
    x = 61,275,705.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.