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Finding the Third Proportional to 215,536,505 and 471,877,692

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Solution

The third proportional to 215,536,505 and 471,877,692 is: 1,033,089,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,536,505 : 471,877,692 = 471,877,692 : x
  2. Step 2: Convert to fraction form
    215,536,505/471,877,692 = 471,877,692/x
  3. Step 3: Cross multiply
    215,536,505x = 471,877,692 × 471,877,692
  4. Step 4: Simplify right side
    215,536,505x = 222,668,556,207,246,848
  5. Step 5: Solve for x
    x = 222,668,556,207,246,848/215,536,505
  6. Step 6: Final answer
    x = 1,033,089,759.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.