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Finding the Third Proportional to 403,251,643.13 and 622,785,920.06

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Solution

The third proportional to 403,251,643.13 and 622,785,920.06 is: 961,836,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,251,643.13 : 622,785,920.06 = 622,785,920.06 : x
  2. Step 2: Convert to fraction form
    403,251,643.13/622,785,920.06 = 622,785,920.06/x
  3. Step 3: Cross multiply
    403,251,643.13x = 622,785,920.06 × 622,785,920.06
  4. Step 4: Simplify right side
    403,251,643.13x = 387,862,302,228,094,656
  5. Step 5: Solve for x
    x = 387,862,302,228,094,656/403,251,643.13
  6. Step 6: Final answer
    x = 961,836,879.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.