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Finding the Third Proportional to 1,937,964,336 and 4,251,122,736

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Solution

The third proportional to 1,937,964,336 and 4,251,122,736 is: 9,325,271,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,964,336 : 4,251,122,736 = 4,251,122,736 : x
  2. Step 2: Convert to fraction form
    1,937,964,336/4,251,122,736 = 4,251,122,736/x
  3. Step 3: Cross multiply
    1,937,964,336x = 4,251,122,736 × 4,251,122,736
  4. Step 4: Simplify right side
    1,937,964,336x = 18,072,044,516,536,125,440
  5. Step 5: Solve for x
    x = 18,072,044,516,536,125,440/1,937,964,336
  6. Step 6: Final answer
    x = 9,325,271,977.83

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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.