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Finding the Third Proportional to 1,417,135,348 and 1,994,769,232

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Solution

The third proportional to 1,417,135,348 and 1,994,769,232 is: 2,807,850,565.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,135,348 : 1,994,769,232 = 1,994,769,232 : x
  2. Step 2: Convert to fraction form
    1,417,135,348/1,994,769,232 = 1,994,769,232/x
  3. Step 3: Cross multiply
    1,417,135,348x = 1,994,769,232 × 1,994,769,232
  4. Step 4: Simplify right side
    1,417,135,348x = 3,979,104,288,933,869,568
  5. Step 5: Solve for x
    x = 3,979,104,288,933,869,568/1,417,135,348
  6. Step 6: Final answer
    x = 2,807,850,565.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.