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Finding the Third Proportional to 1,063,681,700.19 and 1,589,660,021.27

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Solution

The third proportional to 1,063,681,700.19 and 1,589,660,021.27 is: 2,375,728,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063,681,700.19 : 1,589,660,021.27 = 1,589,660,021.27 : x
  2. Step 2: Convert to fraction form
    1,063,681,700.19/1,589,660,021.27 = 1,589,660,021.27/x
  3. Step 3: Cross multiply
    1,063,681,700.19x = 1,589,660,021.27 × 1,589,660,021.27
  4. Step 4: Simplify right side
    1,063,681,700.19x = 2,527,018,983,216,188,416
  5. Step 5: Solve for x
    x = 2,527,018,983,216,188,416/1,063,681,700.19
  6. Step 6: Final answer
    x = 2,375,728,549.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.