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Finding the Third Proportional to 104,077,352,042 and 140,424,782,830

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Solution

The third proportional to 104,077,352,042 and 140,424,782,830 is: 189,466,000,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,077,352,042 : 140,424,782,830 = 140,424,782,830 : x
  2. Step 2: Convert to fraction form
    104,077,352,042/140,424,782,830 = 140,424,782,830/x
  3. Step 3: Cross multiply
    104,077,352,042x = 140,424,782,830 × 140,424,782,830
  4. Step 4: Simplify right side
    104,077,352,042x = 19,719,119,632,852,664,188,928
  5. Step 5: Solve for x
    x = 19,719,119,632,852,664,188,928/104,077,352,042
  6. Step 6: Final answer
    x = 189,466,000,488.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.