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Finding the Third Proportional to 5,197,205 and 8,089,541

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Solution

The third proportional to 5,197,205 and 8,089,541 is: 12,591,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,205 : 8,089,541 = 8,089,541 : x
  2. Step 2: Convert to fraction form
    5,197,205/8,089,541 = 8,089,541/x
  3. Step 3: Cross multiply
    5,197,205x = 8,089,541 × 8,089,541
  4. Step 4: Simplify right side
    5,197,205x = 65,440,673,590,681
  5. Step 5: Solve for x
    x = 65,440,673,590,681/5,197,205
  6. Step 6: Final answer
    x = 12,591,512.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.