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Finding the Third Proportional to 4,430,023.31 and 6,834,039.19

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Solution

The third proportional to 4,430,023.31 and 6,834,039.19 is: 10,542,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430,023.31 : 6,834,039.19 = 6,834,039.19 : x
  2. Step 2: Convert to fraction form
    4,430,023.31/6,834,039.19 = 6,834,039.19/x
  3. Step 3: Cross multiply
    4,430,023.31x = 6,834,039.19 × 6,834,039.19
  4. Step 4: Simplify right side
    4,430,023.31x = 46,704,091,616,285.66
  5. Step 5: Solve for x
    x = 46,704,091,616,285.66/4,430,023.31
  6. Step 6: Final answer
    x = 10,542,628.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.