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Finding the Third Proportional to 4,550,856.54 and 9,777,074.63

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Solution

The third proportional to 4,550,856.54 and 9,777,074.63 is: 21,005,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550,856.54 : 9,777,074.63 = 9,777,074.63 : x
  2. Step 2: Convert to fraction form
    4,550,856.54/9,777,074.63 = 9,777,074.63/x
  3. Step 3: Cross multiply
    4,550,856.54x = 9,777,074.63 × 9,777,074.63
  4. Step 4: Simplify right side
    4,550,856.54x = 95,591,188,222,818.89
  5. Step 5: Solve for x
    x = 95,591,188,222,818.89/4,550,856.54
  6. Step 6: Final answer
    x = 21,005,098.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.