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Finding the Third Proportional to 7,841,050 and 16,985,040

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Solution

The third proportional to 7,841,050 and 16,985,040 is: 36,792,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841,050 : 16,985,040 = 16,985,040 : x
  2. Step 2: Convert to fraction form
    7,841,050/16,985,040 = 16,985,040/x
  3. Step 3: Cross multiply
    7,841,050x = 16,985,040 × 16,985,040
  4. Step 4: Simplify right side
    7,841,050x = 288,491,583,801,600
  5. Step 5: Solve for x
    x = 288,491,583,801,600/7,841,050
  6. Step 6: Final answer
    x = 36,792,468.33

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Why These Related Problems?

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