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Finding the Third Proportional to 952,782,832.88 and 2,063,851,977.75

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Solution

The third proportional to 952,782,832.88 and 2,063,851,977.75 is: 4,470,572,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,782,832.88 : 2,063,851,977.75 = 2,063,851,977.75 : x
  2. Step 2: Convert to fraction form
    952,782,832.88/2,063,851,977.75 = 2,063,851,977.75/x
  3. Step 3: Cross multiply
    952,782,832.88x = 2,063,851,977.75 × 2,063,851,977.75
  4. Step 4: Simplify right side
    952,782,832.88x = 4,259,484,986,062,586,368
  5. Step 5: Solve for x
    x = 4,259,484,986,062,586,368/952,782,832.88
  6. Step 6: Final answer
    x = 4,470,572,767.57

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Why These Related Problems?

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