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Finding the Third Proportional to 46,346,001 and 68,100,183

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Solution

The third proportional to 46,346,001 and 68,100,183 is: 100,065,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,346,001 : 68,100,183 = 68,100,183 : x
  2. Step 2: Convert to fraction form
    46,346,001/68,100,183 = 68,100,183/x
  3. Step 3: Cross multiply
    46,346,001x = 68,100,183 × 68,100,183
  4. Step 4: Simplify right side
    46,346,001x = 4,637,634,924,633,489
  5. Step 5: Solve for x
    x = 4,637,634,924,633,489/46,346,001
  6. Step 6: Final answer
    x = 100,065,481.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.