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Finding the Third Proportional to 1,424,530,904 and 3,138,878,398

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Solution

The third proportional to 1,424,530,904 and 3,138,878,398 is: 6,916,352,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,530,904 : 3,138,878,398 = 3,138,878,398 : x
  2. Step 2: Convert to fraction form
    1,424,530,904/3,138,878,398 = 3,138,878,398/x
  3. Step 3: Cross multiply
    1,424,530,904x = 3,138,878,398 × 3,138,878,398
  4. Step 4: Simplify right side
    1,424,530,904x = 9,852,557,597,431,046,144
  5. Step 5: Solve for x
    x = 9,852,557,597,431,046,144/1,424,530,904
  6. Step 6: Final answer
    x = 6,916,352,302.20

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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.