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Finding the Third Proportional to 952,136,997 and 1,470,654,076.50

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Solution

The third proportional to 952,136,997 and 1,470,654,076.50 is: 2,271,546,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,136,997 : 1,470,654,076.50 = 1,470,654,076.50 : x
  2. Step 2: Convert to fraction form
    952,136,997/1,470,654,076.50 = 1,470,654,076.50/x
  3. Step 3: Cross multiply
    952,136,997x = 1,470,654,076.50 × 1,470,654,076.50
  4. Step 4: Simplify right side
    952,136,997x = 2,162,823,412,726,067,968
  5. Step 5: Solve for x
    x = 2,162,823,412,726,067,968/952,136,997
  6. Step 6: Final answer
    x = 2,271,546,447.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.