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Finding the Third Proportional to 538,797,165.75 and 1,161,694,869.19

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Solution

The third proportional to 538,797,165.75 and 1,161,694,869.19 is: 2,504,718,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,797,165.75 : 1,161,694,869.19 = 1,161,694,869.19 : x
  2. Step 2: Convert to fraction form
    538,797,165.75/1,161,694,869.19 = 1,161,694,869.19/x
  3. Step 3: Cross multiply
    538,797,165.75x = 1,161,694,869.19 × 1,161,694,869.19
  4. Step 4: Simplify right side
    538,797,165.75x = 1,349,534,969,096,562,688
  5. Step 5: Solve for x
    x = 1,349,534,969,096,562,688/538,797,165.75
  6. Step 6: Final answer
    x = 2,504,718,017.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.