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Finding the Third Proportional to 985,660,695 and 2,120,815,035

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Solution

The third proportional to 985,660,695 and 2,120,815,035 is: 4,563,290,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,660,695 : 2,120,815,035 = 2,120,815,035 : x
  2. Step 2: Convert to fraction form
    985,660,695/2,120,815,035 = 2,120,815,035/x
  3. Step 3: Cross multiply
    985,660,695x = 2,120,815,035 × 2,120,815,035
  4. Step 4: Simplify right side
    985,660,695x = 4,497,856,412,682,051,072
  5. Step 5: Solve for x
    x = 4,497,856,412,682,051,072/985,660,695
  6. Step 6: Final answer
    x = 4,563,290,831.72

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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.