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Finding the Third Proportional to 34,077,953.81 and 73,352,219.63

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Solution

The third proportional to 34,077,953.81 and 73,352,219.63 is: 157,889,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,077,953.81 : 73,352,219.63 = 73,352,219.63 : x
  2. Step 2: Convert to fraction form
    34,077,953.81/73,352,219.63 = 73,352,219.63/x
  3. Step 3: Cross multiply
    34,077,953.81x = 73,352,219.63 × 73,352,219.63
  4. Step 4: Simplify right side
    34,077,953.81x = 5,380,548,123,914,235
  5. Step 5: Solve for x
    x = 5,380,548,123,914,235/34,077,953.81
  6. Step 6: Final answer
    x = 157,889,413.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.