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Finding the Third Proportional to 806,220,295,945.75 and 1,768,528,994,066.90

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Solution

The third proportional to 806,220,295,945.75 and 1,768,528,994,066.90 is: 3,879,454,311,164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,220,295,945.75 : 1,768,528,994,066.90 = 1,768,528,994,066.90 : x
  2. Step 2: Convert to fraction form
    806,220,295,945.75/1,768,528,994,066.90 = 1,768,528,994,066.90/x
  3. Step 3: Cross multiply
    806,220,295,945.75x = 1,768,528,994,066.90 × 1,768,528,994,066.90
  4. Step 4: Simplify right side
    806,220,295,945.75x = 3,127,694,802,855,280,672,505,856
  5. Step 5: Solve for x
    x = 3,127,694,802,855,280,672,505,856/806,220,295,945.75
  6. Step 6: Final answer
    x = 3,879,454,311,164.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.