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Finding the Third Proportional to 468,475,119 and 1,028,872,863

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Solution

The third proportional to 468,475,119 and 1,028,872,863 is: 2,259,627,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,475,119 : 1,028,872,863 = 1,028,872,863 : x
  2. Step 2: Convert to fraction form
    468,475,119/1,028,872,863 = 1,028,872,863/x
  3. Step 3: Cross multiply
    468,475,119x = 1,028,872,863 × 1,028,872,863
  4. Step 4: Simplify right side
    468,475,119x = 1,058,579,368,217,816,832
  5. Step 5: Solve for x
    x = 1,058,579,368,217,816,832/468,475,119
  6. Step 6: Final answer
    x = 2,259,627,726.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.