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Finding the Third Proportional to 3,029,573.81 and 6,629,224.78

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Solution

The third proportional to 3,029,573.81 and 6,629,224.78 is: 14,505,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,573.81 : 6,629,224.78 = 6,629,224.78 : x
  2. Step 2: Convert to fraction form
    3,029,573.81/6,629,224.78 = 6,629,224.78/x
  3. Step 3: Cross multiply
    3,029,573.81x = 6,629,224.78 × 6,629,224.78
  4. Step 4: Simplify right side
    3,029,573.81x = 43,946,621,200,339.11
  5. Step 5: Solve for x
    x = 43,946,621,200,339.11/3,029,573.81
  6. Step 6: Final answer
    x = 14,505,875.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.