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Finding the Third Proportional to 1,278,994,961 and 2,783,205,073

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Solution

The third proportional to 1,278,994,961 and 2,783,205,073 is: 6,056,498,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,994,961 : 2,783,205,073 = 2,783,205,073 : x
  2. Step 2: Convert to fraction form
    1,278,994,961/2,783,205,073 = 2,783,205,073/x
  3. Step 3: Cross multiply
    1,278,994,961x = 2,783,205,073 × 2,783,205,073
  4. Step 4: Simplify right side
    1,278,994,961x = 7,746,230,478,372,935,680
  5. Step 5: Solve for x
    x = 7,746,230,478,372,935,680/1,278,994,961
  6. Step 6: Final answer
    x = 6,056,498,043.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.