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Finding the Third Proportional to 6,149,976,696 and 9,184,664,736

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Solution

The third proportional to 6,149,976,696 and 9,184,664,736 is: 13,716,810,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,976,696 : 9,184,664,736 = 9,184,664,736 : x
  2. Step 2: Convert to fraction form
    6,149,976,696/9,184,664,736 = 9,184,664,736/x
  3. Step 3: Cross multiply
    6,149,976,696x = 9,184,664,736 × 9,184,664,736
  4. Step 4: Simplify right side
    6,149,976,696x = 84,358,066,312,721,956,864
  5. Step 5: Solve for x
    x = 84,358,066,312,721,956,864/6,149,976,696
  6. Step 6: Final answer
    x = 13,716,810,726.71

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