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Finding the Third Proportional to 2,602,474.31 and 5,639,308.59

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Solution

The third proportional to 2,602,474.31 and 5,639,308.59 is: 12,219,832.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602,474.31 : 5,639,308.59 = 5,639,308.59 : x
  2. Step 2: Convert to fraction form
    2,602,474.31/5,639,308.59 = 5,639,308.59/x
  3. Step 3: Cross multiply
    2,602,474.31x = 5,639,308.59 × 5,639,308.59
  4. Step 4: Simplify right side
    2,602,474.31x = 31,801,801,415,542.60
  5. Step 5: Solve for x
    x = 31,801,801,415,542.60/2,602,474.31
  6. Step 6: Final answer
    x = 12,219,832.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.