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Finding the Third Proportional to 3,530,506.50 and 7,542,973.13

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Solution

The third proportional to 3,530,506.50 and 7,542,973.13 is: 16,115,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,530,506.50 : 7,542,973.13 = 7,542,973.13 : x
  2. Step 2: Convert to fraction form
    3,530,506.50/7,542,973.13 = 7,542,973.13/x
  3. Step 3: Cross multiply
    3,530,506.50x = 7,542,973.13 × 7,542,973.13
  4. Step 4: Simplify right side
    3,530,506.50x = 56,896,443,564,472.27
  5. Step 5: Solve for x
    x = 56,896,443,564,472.27/3,530,506.50
  6. Step 6: Final answer
    x = 16,115,660.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.