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Finding the Third Proportional to 800,477,165,994 and 1,219,471,592,091

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Solution

The third proportional to 800,477,165,994 and 1,219,471,592,091 is: 1,857,780,617,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,477,165,994 : 1,219,471,592,091 = 1,219,471,592,091 : x
  2. Step 2: Convert to fraction form
    800,477,165,994/1,219,471,592,091 = 1,219,471,592,091/x
  3. Step 3: Cross multiply
    800,477,165,994x = 1,219,471,592,091 × 1,219,471,592,091
  4. Step 4: Simplify right side
    800,477,165,994x = 1,487,110,963,916,958,219,632,640
  5. Step 5: Solve for x
    x = 1,487,110,963,916,958,219,632,640/800,477,165,994
  6. Step 6: Final answer
    x = 1,857,780,617,727.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.