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Finding the Third Proportional to 2,858,061,794 and 6,191,045,008

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Solution

The third proportional to 2,858,061,794 and 6,191,045,008 is: 13,410,850,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,061,794 : 6,191,045,008 = 6,191,045,008 : x
  2. Step 2: Convert to fraction form
    2,858,061,794/6,191,045,008 = 6,191,045,008/x
  3. Step 3: Cross multiply
    2,858,061,794x = 6,191,045,008 × 6,191,045,008
  4. Step 4: Simplify right side
    2,858,061,794x = 38,329,038,291,081,723,904
  5. Step 5: Solve for x
    x = 38,329,038,291,081,723,904/2,858,061,794
  6. Step 6: Final answer
    x = 13,410,850,098.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.