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Finding the Third Proportional to 1,328,760,528 and 2,907,760,872

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Solution

The third proportional to 1,328,760,528 and 2,907,760,872 is: 6,363,127,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,760,528 : 2,907,760,872 = 2,907,760,872 : x
  2. Step 2: Convert to fraction form
    1,328,760,528/2,907,760,872 = 2,907,760,872/x
  3. Step 3: Cross multiply
    1,328,760,528x = 2,907,760,872 × 2,907,760,872
  4. Step 4: Simplify right side
    1,328,760,528x = 8,455,073,288,734,200,832
  5. Step 5: Solve for x
    x = 8,455,073,288,734,200,832/1,328,760,528
  6. Step 6: Final answer
    x = 6,363,127,975.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.