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Finding the Third Proportional to 943,677,384 and 2,068,753,296

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Solution

The third proportional to 943,677,384 and 2,068,753,296 is: 4,535,173,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    943,677,384 : 2,068,753,296 = 2,068,753,296 : x
  2. Step 2: Convert to fraction form
    943,677,384/2,068,753,296 = 2,068,753,296/x
  3. Step 3: Cross multiply
    943,677,384x = 2,068,753,296 × 2,068,753,296
  4. Step 4: Simplify right side
    943,677,384x = 4,279,740,199,710,863,360
  5. Step 5: Solve for x
    x = 4,279,740,199,710,863,360/943,677,384
  6. Step 6: Final answer
    x = 4,535,173,007.51

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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.