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Finding the Third Proportional to 182,851,611 and 390,501,615

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Solution

The third proportional to 182,851,611 and 390,501,615 is: 833,963,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,851,611 : 390,501,615 = 390,501,615 : x
  2. Step 2: Convert to fraction form
    182,851,611/390,501,615 = 390,501,615/x
  3. Step 3: Cross multiply
    182,851,611x = 390,501,615 × 390,501,615
  4. Step 4: Simplify right side
    182,851,611x = 152,491,511,317,608,224
  5. Step 5: Solve for x
    x = 152,491,511,317,608,224/182,851,611
  6. Step 6: Final answer
    x = 833,963,181.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.