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Finding the Third Proportional to 4,717,738.69 and 10,318,736.81

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Solution

The third proportional to 4,717,738.69 and 10,318,736.81 is: 22,569,357.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717,738.69 : 10,318,736.81 = 10,318,736.81 : x
  2. Step 2: Convert to fraction form
    4,717,738.69/10,318,736.81 = 10,318,736.81/x
  3. Step 3: Cross multiply
    4,717,738.69x = 10,318,736.81 × 10,318,736.81
  4. Step 4: Simplify right side
    4,717,738.69x = 106,476,329,405,642.66
  5. Step 5: Solve for x
    x = 106,476,329,405,642.66/4,717,738.69
  6. Step 6: Final answer
    x = 22,569,357.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.