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Finding the Third Proportional to 4,077,676.69 and 5,714,836.03

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Solution

The third proportional to 4,077,676.69 and 5,714,836.03 is: 8,009,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077,676.69 : 5,714,836.03 = 5,714,836.03 : x
  2. Step 2: Convert to fraction form
    4,077,676.69/5,714,836.03 = 5,714,836.03/x
  3. Step 3: Cross multiply
    4,077,676.69x = 5,714,836.03 × 5,714,836.03
  4. Step 4: Simplify right side
    4,077,676.69x = 32,659,350,864,073.25
  5. Step 5: Solve for x
    x = 32,659,350,864,073.25/4,077,676.69
  6. Step 6: Final answer
    x = 8,009,303.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.