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Finding the Third Proportional to 2,986,729,326 and 4,302,194,661

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Solution

The third proportional to 2,986,729,326 and 4,302,194,661 is: 6,197,039,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986,729,326 : 4,302,194,661 = 4,302,194,661 : x
  2. Step 2: Convert to fraction form
    2,986,729,326/4,302,194,661 = 4,302,194,661/x
  3. Step 3: Cross multiply
    2,986,729,326x = 4,302,194,661 × 4,302,194,661
  4. Step 4: Simplify right side
    2,986,729,326x = 18,508,878,901,136,904,192
  5. Step 5: Solve for x
    x = 18,508,878,901,136,904,192/2,986,729,326
  6. Step 6: Final answer
    x = 6,197,039,262.99

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