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Finding the Third Proportional to 2,994,763,539 and 6,463,041,010.50

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Solution

The third proportional to 2,994,763,539 and 6,463,041,010.50 is: 13,947,979,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,994,763,539 : 6,463,041,010.50 = 6,463,041,010.50 : x
  2. Step 2: Convert to fraction form
    2,994,763,539/6,463,041,010.50 = 6,463,041,010.50/x
  3. Step 3: Cross multiply
    2,994,763,539x = 6,463,041,010.50 × 6,463,041,010.50
  4. Step 4: Simplify right side
    2,994,763,539x = 41,770,899,103,404,859,392
  5. Step 5: Solve for x
    x = 41,770,899,103,404,859,392/2,994,763,539
  6. Step 6: Final answer
    x = 13,947,979,050.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.