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Finding the Third Proportional to 2,357,267,589 and 5,133,045,006

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Solution

The third proportional to 2,357,267,589 and 5,133,045,006 is: 11,177,411,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357,267,589 : 5,133,045,006 = 5,133,045,006 : x
  2. Step 2: Convert to fraction form
    2,357,267,589/5,133,045,006 = 5,133,045,006/x
  3. Step 3: Cross multiply
    2,357,267,589x = 5,133,045,006 × 5,133,045,006
  4. Step 4: Simplify right side
    2,357,267,589x = 26,348,151,033,621,540,864
  5. Step 5: Solve for x
    x = 26,348,151,033,621,540,864/2,357,267,589
  6. Step 6: Final answer
    x = 11,177,411,998.78

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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.