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Finding the Third Proportional to 5,232,807,856 and 8,043,200,838

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Solution

The third proportional to 5,232,807,856 and 8,043,200,838 is: 12,362,976,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,807,856 : 8,043,200,838 = 8,043,200,838 : x
  2. Step 2: Convert to fraction form
    5,232,807,856/8,043,200,838 = 8,043,200,838/x
  3. Step 3: Cross multiply
    5,232,807,856x = 8,043,200,838 × 8,043,200,838
  4. Step 4: Simplify right side
    5,232,807,856x = 64,693,079,720,403,902,464
  5. Step 5: Solve for x
    x = 64,693,079,720,403,902,464/5,232,807,856
  6. Step 6: Final answer
    x = 12,362,976,340.94

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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.