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Finding the Third Proportional to 6,149,976,845.06 and 9,184,664,940.19

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Solution

The third proportional to 6,149,976,845.06 and 9,184,664,940.19 is: 13,716,811,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149,976,845.06 : 9,184,664,940.19 = 9,184,664,940.19 : x
  2. Step 2: Convert to fraction form
    6,149,976,845.06/9,184,664,940.19 = 9,184,664,940.19/x
  3. Step 3: Cross multiply
    6,149,976,845.06x = 9,184,664,940.19 × 9,184,664,940.19
  4. Step 4: Simplify right side
    6,149,976,845.06x = 84,358,070,063,509,454,848
  5. Step 5: Solve for x
    x = 84,358,070,063,509,454,848/6,149,976,845.06
  6. Step 6: Final answer
    x = 13,716,811,004.13

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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.