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Finding the Third Proportional to 824,734,564,074 and 1,775,514,242,638

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Solution

The third proportional to 824,734,564,074 and 1,775,514,242,638 is: 3,822,382,331,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,734,564,074 : 1,775,514,242,638 = 1,775,514,242,638 : x
  2. Step 2: Convert to fraction form
    824,734,564,074/1,775,514,242,638 = 1,775,514,242,638/x
  3. Step 3: Cross multiply
    824,734,564,074x = 1,775,514,242,638 × 1,775,514,242,638
  4. Step 4: Simplify right side
    824,734,564,074x = 3,152,450,825,810,390,745,612,288
  5. Step 5: Solve for x
    x = 3,152,450,825,810,390,745,612,288/824,734,564,074
  6. Step 6: Final answer
    x = 3,822,382,331,398.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.