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Finding the Third Proportional to 5,232,807,789 and 8,043,200,744

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Solution

The third proportional to 5,232,807,789 and 8,043,200,744 is: 12,362,976,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,807,789 : 8,043,200,744 = 8,043,200,744 : x
  2. Step 2: Convert to fraction form
    5,232,807,789/8,043,200,744 = 8,043,200,744/x
  3. Step 3: Cross multiply
    5,232,807,789x = 8,043,200,744 × 8,043,200,744
  4. Step 4: Simplify right side
    5,232,807,789x = 64,693,078,208,282,157,056
  5. Step 5: Solve for x
    x = 64,693,078,208,282,157,056/5,232,807,789
  6. Step 6: Final answer
    x = 12,362,976,210.26

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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.