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Finding the Third Proportional to 1,150,105,404 and 1,644,663,384

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Solution

The third proportional to 1,150,105,404 and 1,644,663,384 is: 2,351,886,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150,105,404 : 1,644,663,384 = 1,644,663,384 : x
  2. Step 2: Convert to fraction form
    1,150,105,404/1,644,663,384 = 1,644,663,384/x
  3. Step 3: Cross multiply
    1,150,105,404x = 1,644,663,384 × 1,644,663,384
  4. Step 4: Simplify right side
    1,150,105,404x = 2,704,917,646,670,331,392
  5. Step 5: Solve for x
    x = 2,704,917,646,670,331,392/1,150,105,404
  6. Step 6: Final answer
    x = 2,351,886,737.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.