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Finding the Third Proportional to 8,281,626.05 and 12,646,640.74

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Solution

The third proportional to 8,281,626.05 and 12,646,640.74 is: 19,312,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281,626.05 : 12,646,640.74 = 12,646,640.74 : x
  2. Step 2: Convert to fraction form
    8,281,626.05/12,646,640.74 = 12,646,640.74/x
  3. Step 3: Cross multiply
    8,281,626.05x = 12,646,640.74 × 12,646,640.74
  4. Step 4: Simplify right side
    8,281,626.05x = 159,937,522,061,969.44
  5. Step 5: Solve for x
    x = 159,937,522,061,969.44/8,281,626.05
  6. Step 6: Final answer
    x = 19,312,333.25

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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.