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Finding the Third Proportional to 1,171,793,197.69 and 1,785,161,134.69

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Solution

The third proportional to 1,171,793,197.69 and 1,785,161,134.69 is: 2,719,592,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171,793,197.69 : 1,785,161,134.69 = 1,785,161,134.69 : x
  2. Step 2: Convert to fraction form
    1,171,793,197.69/1,785,161,134.69 = 1,785,161,134.69/x
  3. Step 3: Cross multiply
    1,171,793,197.69x = 1,785,161,134.69 × 1,785,161,134.69
  4. Step 4: Simplify right side
    1,171,793,197.69x = 3,186,800,276,798,762,496
  5. Step 5: Solve for x
    x = 3,186,800,276,798,762,496/1,171,793,197.69
  6. Step 6: Final answer
    x = 2,719,592,743.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.