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Finding the Third Proportional to 403,251,208.10 and 622,785,266.68

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Solution

The third proportional to 403,251,208.10 and 622,785,266.68 is: 961,835,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,251,208.10 : 622,785,266.68 = 622,785,266.68 : x
  2. Step 2: Convert to fraction form
    403,251,208.10/622,785,266.68 = 622,785,266.68/x
  3. Step 3: Cross multiply
    403,251,208.10x = 622,785,266.68 × 622,785,266.68
  4. Step 4: Simplify right side
    403,251,208.10x = 387,861,488,398,162,688
  5. Step 5: Solve for x
    x = 387,861,488,398,162,688/403,251,208.10
  6. Step 6: Final answer
    x = 961,835,899.32

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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.