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Finding the Third Proportional to 482,785,899.75 and 1,042,752,533.06

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Solution

The third proportional to 482,785,899.75 and 1,042,752,533.06 is: 2,252,205,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,785,899.75 : 1,042,752,533.06 = 1,042,752,533.06 : x
  2. Step 2: Convert to fraction form
    482,785,899.75/1,042,752,533.06 = 1,042,752,533.06/x
  3. Step 3: Cross multiply
    482,785,899.75x = 1,042,752,533.06 × 1,042,752,533.06
  4. Step 4: Simplify right side
    482,785,899.75x = 1,087,332,845,208,260,096
  5. Step 5: Solve for x
    x = 1,087,332,845,208,260,096/482,785,899.75
  6. Step 6: Final answer
    x = 2,252,205,057.71

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Why These Related Problems?

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