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Finding the Third Proportional to 3,243,901,905 and 5,025,229,997.25

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Solution

The third proportional to 3,243,901,905 and 5,025,229,997.25 is: 7,784,741,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243,901,905 : 5,025,229,997.25 = 5,025,229,997.25 : x
  2. Step 2: Convert to fraction form
    3,243,901,905/5,025,229,997.25 = 5,025,229,997.25/x
  3. Step 3: Cross multiply
    3,243,901,905x = 5,025,229,997.25 × 5,025,229,997.25
  4. Step 4: Simplify right side
    3,243,901,905x = 25,252,936,525,261,234,176
  5. Step 5: Solve for x
    x = 25,252,936,525,261,234,176/3,243,901,905
  6. Step 6: Final answer
    x = 7,784,741,112.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.