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Finding the Third Proportional to 971,632,137 and 2,098,089,469.50

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Solution

The third proportional to 971,632,137 and 2,098,089,469.50 is: 4,530,500,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,632,137 : 2,098,089,469.50 = 2,098,089,469.50 : x
  2. Step 2: Convert to fraction form
    971,632,137/2,098,089,469.50 = 2,098,089,469.50/x
  3. Step 3: Cross multiply
    971,632,137x = 2,098,089,469.50 × 2,098,089,469.50
  4. Step 4: Simplify right side
    971,632,137x = 4,401,979,422,026,791,424
  5. Step 5: Solve for x
    x = 4,401,979,422,026,791,424/971,632,137
  6. Step 6: Final answer
    x = 4,530,500,026.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.