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Finding the Third Proportional to 4,089,973.50 and 6,219,944.44

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Solution

The third proportional to 4,089,973.50 and 6,219,944.44 is: 9,459,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089,973.50 : 6,219,944.44 = 6,219,944.44 : x
  2. Step 2: Convert to fraction form
    4,089,973.50/6,219,944.44 = 6,219,944.44/x
  3. Step 3: Cross multiply
    4,089,973.50x = 6,219,944.44 × 6,219,944.44
  4. Step 4: Simplify right side
    4,089,973.50x = 38,687,708,805,587.19
  5. Step 5: Solve for x
    x = 38,687,708,805,587.19/4,089,973.50
  6. Step 6: Final answer
    x = 9,459,158.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.