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Finding the Third Proportional to 6,143,595 and 13,650,774

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Solution

The third proportional to 6,143,595 and 13,650,774 is: 30,331,366.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,595 : 13,650,774 = 13,650,774 : x
  2. Step 2: Convert to fraction form
    6,143,595/13,650,774 = 13,650,774/x
  3. Step 3: Cross multiply
    6,143,595x = 13,650,774 × 13,650,774
  4. Step 4: Simplify right side
    6,143,595x = 186,343,630,799,076
  5. Step 5: Solve for x
    x = 186,343,630,799,076/6,143,595
  6. Step 6: Final answer
    x = 30,331,366.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.