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Finding the Third Proportional to 1,937,964,384 and 4,251,122,856

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Solution

The third proportional to 1,937,964,384 and 4,251,122,856 is: 9,325,272,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,964,384 : 4,251,122,856 = 4,251,122,856 : x
  2. Step 2: Convert to fraction form
    1,937,964,384/4,251,122,856 = 4,251,122,856/x
  3. Step 3: Cross multiply
    1,937,964,384x = 4,251,122,856 × 4,251,122,856
  4. Step 4: Simplify right side
    1,937,964,384x = 18,072,045,536,805,597,184
  5. Step 5: Solve for x
    x = 18,072,045,536,805,597,184/1,937,964,384
  6. Step 6: Final answer
    x = 9,325,272,273.32

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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.