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Finding the Third Proportional to 1,138,133,268 and 1,707,199,785

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Solution

The third proportional to 1,138,133,268 and 1,707,199,785 is: 2,560,799,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,133,268 : 1,707,199,785 = 1,707,199,785 : x
  2. Step 2: Convert to fraction form
    1,138,133,268/1,707,199,785 = 1,707,199,785/x
  3. Step 3: Cross multiply
    1,138,133,268x = 1,707,199,785 × 1,707,199,785
  4. Step 4: Simplify right side
    1,138,133,268x = 2,914,531,105,904,046,080
  5. Step 5: Solve for x
    x = 2,914,531,105,904,046,080/1,138,133,268
  6. Step 6: Final answer
    x = 2,560,799,502.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.