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Finding the Third Proportional to 8,125,812 and 17,402,167.41

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Solution

The third proportional to 8,125,812 and 17,402,167.41 is: 37,268,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125,812 : 17,402,167.41 = 17,402,167.41 : x
  2. Step 2: Convert to fraction form
    8,125,812/17,402,167.41 = 17,402,167.41/x
  3. Step 3: Cross multiply
    8,125,812x = 17,402,167.41 × 17,402,167.41
  4. Step 4: Simplify right side
    8,125,812x = 302,835,430,435,149.88
  5. Step 5: Solve for x
    x = 302,835,430,435,149.88/8,125,812
  6. Step 6: Final answer
    x = 37,268,328.44

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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.