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Finding the Third Proportional to 6,444,254,106 and 9,626,693,238

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Solution

The third proportional to 6,444,254,106 and 9,626,693,238 is: 14,380,752,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444,254,106 : 9,626,693,238 = 9,626,693,238 : x
  2. Step 2: Convert to fraction form
    6,444,254,106/9,626,693,238 = 9,626,693,238/x
  3. Step 3: Cross multiply
    6,444,254,106x = 9,626,693,238 × 9,626,693,238
  4. Step 4: Simplify right side
    6,444,254,106x = 92,673,222,698,554,916,864
  5. Step 5: Solve for x
    x = 92,673,222,698,554,916,864/6,444,254,106
  6. Step 6: Final answer
    x = 14,380,752,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.