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Finding the Third Proportional to 403,251,640 and 622,785,915.50

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Solution

The third proportional to 403,251,640 and 622,785,915.50 is: 961,836,873.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,251,640 : 622,785,915.50 = 622,785,915.50 : x
  2. Step 2: Convert to fraction form
    403,251,640/622,785,915.50 = 622,785,915.50/x
  3. Step 3: Cross multiply
    403,251,640x = 622,785,915.50 × 622,785,915.50
  4. Step 4: Simplify right side
    403,251,640x = 387,862,296,545,173,120
  5. Step 5: Solve for x
    x = 387,862,296,545,173,120/403,251,640
  6. Step 6: Final answer
    x = 961,836,873.24

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Why These Related Problems?

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