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Finding the Third Proportional to 3,414,397,158 and 5,121,595,729.50

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Solution

The third proportional to 3,414,397,158 and 5,121,595,729.50 is: 7,682,393,583

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,397,158 : 5,121,595,729.50 = 5,121,595,729.50 : x
  2. Step 2: Convert to fraction form
    3,414,397,158/5,121,595,729.50 = 5,121,595,729.50/x
  3. Step 3: Cross multiply
    3,414,397,158x = 5,121,595,729.50 × 5,121,595,729.50
  4. Step 4: Simplify right side
    3,414,397,158x = 26,230,742,816,432,635,904
  5. Step 5: Solve for x
    x = 26,230,742,816,432,635,904/3,414,397,158
  6. Step 6: Final answer
    x = 7,682,393,583

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.