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Finding the Third Proportional to 952,782,835.50 and 2,063,851,982.25

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Solution

The third proportional to 952,782,835.50 and 2,063,851,982.25 is: 4,470,572,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,782,835.50 : 2,063,851,982.25 = 2,063,851,982.25 : x
  2. Step 2: Convert to fraction form
    952,782,835.50/2,063,851,982.25 = 2,063,851,982.25/x
  3. Step 3: Cross multiply
    952,782,835.50x = 2,063,851,982.25 × 2,063,851,982.25
  4. Step 4: Simplify right side
    952,782,835.50x = 4,259,485,004,637,254,144
  5. Step 5: Solve for x
    x = 4,259,485,004,637,254,144/952,782,835.50
  6. Step 6: Final answer
    x = 4,470,572,774.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.