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Finding the Third Proportional to 3,658,333.50 and 5,434,435.13

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Solution

The third proportional to 3,658,333.50 and 5,434,435.13 is: 8,072,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,333.50 : 5,434,435.13 = 5,434,435.13 : x
  2. Step 2: Convert to fraction form
    3,658,333.50/5,434,435.13 = 5,434,435.13/x
  3. Step 3: Cross multiply
    3,658,333.50x = 5,434,435.13 × 5,434,435.13
  4. Step 4: Simplify right side
    3,658,333.50x = 29,533,085,127,833.77
  5. Step 5: Solve for x
    x = 29,533,085,127,833.77/3,658,333.50
  6. Step 6: Final answer
    x = 8,072,824.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.