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Finding the Third Proportional to 1,641,794,715 and 2,544,329,772

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Solution

The third proportional to 1,641,794,715 and 2,544,329,772 is: 3,943,010,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,794,715 : 2,544,329,772 = 2,544,329,772 : x
  2. Step 2: Convert to fraction form
    1,641,794,715/2,544,329,772 = 2,544,329,772/x
  3. Step 3: Cross multiply
    1,641,794,715x = 2,544,329,772 × 2,544,329,772
  4. Step 4: Simplify right side
    1,641,794,715x = 6,473,613,988,685,572,096
  5. Step 5: Solve for x
    x = 6,473,613,988,685,572,096/1,641,794,715
  6. Step 6: Final answer
    x = 3,943,010,614.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.