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Finding the Third Proportional to 34,293,912 and 73,972,200

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Solution

The third proportional to 34,293,912 and 73,972,200 is: 159,558,535.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,293,912 : 73,972,200 = 73,972,200 : x
  2. Step 2: Convert to fraction form
    34,293,912/73,972,200 = 73,972,200/x
  3. Step 3: Cross multiply
    34,293,912x = 73,972,200 × 73,972,200
  4. Step 4: Simplify right side
    34,293,912x = 5,471,886,372,840,000
  5. Step 5: Solve for x
    x = 5,471,886,372,840,000/34,293,912
  6. Step 6: Final answer
    x = 159,558,535.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.