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Finding the Third Proportional to 4,068,898.31 and 6,294,677.06

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Solution

The third proportional to 4,068,898.31 and 6,294,677.06 is: 9,738,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068,898.31 : 6,294,677.06 = 6,294,677.06 : x
  2. Step 2: Convert to fraction form
    4,068,898.31/6,294,677.06 = 6,294,677.06/x
  3. Step 3: Cross multiply
    4,068,898.31x = 6,294,677.06 × 6,294,677.06
  4. Step 4: Simplify right side
    4,068,898.31x = 39,622,959,321,163.62
  5. Step 5: Solve for x
    x = 39,622,959,321,163.62/4,068,898.31
  6. Step 6: Final answer
    x = 9,738,006.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.