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Finding the Third Proportional to 6,555,749 and 14,306,986

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Solution

The third proportional to 6,555,749 and 14,306,986 is: 31,222,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555,749 : 14,306,986 = 14,306,986 : x
  2. Step 2: Convert to fraction form
    6,555,749/14,306,986 = 14,306,986/x
  3. Step 3: Cross multiply
    6,555,749x = 14,306,986 × 14,306,986
  4. Step 4: Simplify right side
    6,555,749x = 204,689,848,404,196
  5. Step 5: Solve for x
    x = 204,689,848,404,196/6,555,749
  6. Step 6: Final answer
    x = 31,222,953.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.