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Finding the Third Proportional to 34,072,542.42 and 74,389,516.59

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Solution

The third proportional to 34,072,542.42 and 74,389,516.59 is: 162,412,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,072,542.42 : 74,389,516.59 = 74,389,516.59 : x
  2. Step 2: Convert to fraction form
    34,072,542.42/74,389,516.59 = 74,389,516.59/x
  3. Step 3: Cross multiply
    34,072,542.42x = 74,389,516.59 × 74,389,516.59
  4. Step 4: Simplify right side
    34,072,542.42x = 5,533,800,179,051,807
  5. Step 5: Solve for x
    x = 5,533,800,179,051,807/34,072,542.42
  6. Step 6: Final answer
    x = 162,412,305.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.