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Finding the Third Proportional to 234,301,809 and 487,996,611

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Solution

The third proportional to 234,301,809 and 487,996,611 is: 1,016,384,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,301,809 : 487,996,611 = 487,996,611 : x
  2. Step 2: Convert to fraction form
    234,301,809/487,996,611 = 487,996,611/x
  3. Step 3: Cross multiply
    234,301,809x = 487,996,611 × 487,996,611
  4. Step 4: Simplify right side
    234,301,809x = 238,140,692,347,485,312
  5. Step 5: Solve for x
    x = 238,140,692,347,485,312/234,301,809
  6. Step 6: Final answer
    x = 1,016,384,352.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.