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Finding the Third Proportional to 2,052,923,042 and 2,966,119,923

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Solution

The third proportional to 2,052,923,042 and 2,966,119,923 is: 4,285,532,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052,923,042 : 2,966,119,923 = 2,966,119,923 : x
  2. Step 2: Convert to fraction form
    2,052,923,042/2,966,119,923 = 2,966,119,923/x
  3. Step 3: Cross multiply
    2,052,923,042x = 2,966,119,923 × 2,966,119,923
  4. Step 4: Simplify right side
    2,052,923,042x = 8,797,867,397,617,525,760
  5. Step 5: Solve for x
    x = 8,797,867,397,617,525,760/2,052,923,042
  6. Step 6: Final answer
    x = 4,285,532,003.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.