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Finding the Third Proportional to 1,417,135,366 and 1,994,769,260

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Solution

The third proportional to 1,417,135,366 and 1,994,769,260 is: 2,807,850,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,135,366 : 1,994,769,260 = 1,994,769,260 : x
  2. Step 2: Convert to fraction form
    1,417,135,366/1,994,769,260 = 1,994,769,260/x
  3. Step 3: Cross multiply
    1,417,135,366x = 1,994,769,260 × 1,994,769,260
  4. Step 4: Simplify right side
    1,417,135,366x = 3,979,104,400,640,947,712
  5. Step 5: Solve for x
    x = 3,979,104,400,640,947,712/1,417,135,366
  6. Step 6: Final answer
    x = 2,807,850,609.13

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