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Finding the Third Proportional to 695,768,535 and 1,491,134,234.63

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Solution

The third proportional to 695,768,535 and 1,491,134,234.63 is: 3,195,719,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,768,535 : 1,491,134,234.63 = 1,491,134,234.63 : x
  2. Step 2: Convert to fraction form
    695,768,535/1,491,134,234.63 = 1,491,134,234.63/x
  3. Step 3: Cross multiply
    695,768,535x = 1,491,134,234.63 × 1,491,134,234.63
  4. Step 4: Simplify right side
    695,768,535x = 2,223,481,305,670,684,672
  5. Step 5: Solve for x
    x = 2,223,481,305,670,684,672/695,768,535
  6. Step 6: Final answer
    x = 3,195,719,831.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.