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Finding the Third Proportional to 9,395,164.69 and 19,649,349.56

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Solution

The third proportional to 9,395,164.69 and 19,649,349.56 is: 41,095,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395,164.69 : 19,649,349.56 = 19,649,349.56 : x
  2. Step 2: Convert to fraction form
    9,395,164.69/19,649,349.56 = 19,649,349.56/x
  3. Step 3: Cross multiply
    9,395,164.69x = 19,649,349.56 × 19,649,349.56
  4. Step 4: Simplify right side
    9,395,164.69x = 386,096,938,229,318.94
  5. Step 5: Solve for x
    x = 386,096,938,229,318.94/9,395,164.69
  6. Step 6: Final answer
    x = 41,095,281.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.