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Finding the Third Proportional to 952,782,835 and 2,063,851,983

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Solution

The third proportional to 952,782,835 and 2,063,851,983 is: 4,470,572,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,782,835 : 2,063,851,983 = 2,063,851,983 : x
  2. Step 2: Convert to fraction form
    952,782,835/2,063,851,983 = 2,063,851,983/x
  3. Step 3: Cross multiply
    952,782,835x = 2,063,851,983 × 2,063,851,983
  4. Step 4: Simplify right side
    952,782,835x = 4,259,485,007,733,032,448
  5. Step 5: Solve for x
    x = 4,259,485,007,733,032,448/952,782,835
  6. Step 6: Final answer
    x = 4,470,572,780.35

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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.