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Finding the Third Proportional to 2,472,276.94 and 5,134,033.13

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Solution

The third proportional to 2,472,276.94 and 5,134,033.13 is: 10,661,546.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472,276.94 : 5,134,033.13 = 5,134,033.13 : x
  2. Step 2: Convert to fraction form
    2,472,276.94/5,134,033.13 = 5,134,033.13/x
  3. Step 3: Cross multiply
    2,472,276.94x = 5,134,033.13 × 5,134,033.13
  4. Step 4: Simplify right side
    2,472,276.94x = 26,358,296,128,597.27
  5. Step 5: Solve for x
    x = 26,358,296,128,597.27/2,472,276.94
  6. Step 6: Final answer
    x = 10,661,546.74

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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.