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Finding the Third Proportional to 3,145,501,242 and 6,814,412,820

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Solution

The third proportional to 3,145,501,242 and 6,814,412,820 is: 14,762,741,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145,501,242 : 6,814,412,820 = 6,814,412,820 : x
  2. Step 2: Convert to fraction form
    3,145,501,242/6,814,412,820 = 6,814,412,820/x
  3. Step 3: Cross multiply
    3,145,501,242x = 6,814,412,820 × 6,814,412,820
  4. Step 4: Simplify right side
    3,145,501,242x = 46,436,222,081,380,352,000
  5. Step 5: Solve for x
    x = 46,436,222,081,380,352,000/3,145,501,242
  6. Step 6: Final answer
    x = 14,762,741,613.75

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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.