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Finding the Third Proportional to 353,949,183 and 535,841,973

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Solution

The third proportional to 353,949,183 and 535,841,973 is: 811,208,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,949,183 : 535,841,973 = 535,841,973 : x
  2. Step 2: Convert to fraction form
    353,949,183/535,841,973 = 535,841,973/x
  3. Step 3: Cross multiply
    353,949,183x = 535,841,973 × 535,841,973
  4. Step 4: Simplify right side
    353,949,183x = 287,126,620,028,532,736
  5. Step 5: Solve for x
    x = 287,126,620,028,532,736/353,949,183
  6. Step 6: Final answer
    x = 811,208,596.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.