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Finding the Third Proportional to 34,066,198.69 and 74,727,672.19

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Solution

The third proportional to 34,066,198.69 and 74,727,672.19 is: 163,922,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066,198.69 : 74,727,672.19 = 74,727,672.19 : x
  2. Step 2: Convert to fraction form
    34,066,198.69/74,727,672.19 = 74,727,672.19/x
  3. Step 3: Cross multiply
    34,066,198.69x = 74,727,672.19 × 74,727,672.19
  4. Step 4: Simplify right side
    34,066,198.69x = 5,584,224,990,562,461
  5. Step 5: Solve for x
    x = 5,584,224,990,562,461/34,066,198.69
  6. Step 6: Final answer
    x = 163,922,750.58

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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.