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Finding the Third Proportional to 1,414,169,965 and 3,333,591,804.50

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Solution

The third proportional to 1,414,169,965 and 3,333,591,804.50 is: 7,858,202,757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,169,965 : 3,333,591,804.50 = 3,333,591,804.50 : x
  2. Step 2: Convert to fraction form
    1,414,169,965/3,333,591,804.50 = 3,333,591,804.50/x
  3. Step 3: Cross multiply
    1,414,169,965x = 3,333,591,804.50 × 3,333,591,804.50
  4. Step 4: Simplify right side
    1,414,169,965x = 11,112,834,319,029,565,440
  5. Step 5: Solve for x
    x = 11,112,834,319,029,565,440/1,414,169,965
  6. Step 6: Final answer
    x = 7,858,202,757.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.