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Finding the Third Proportional to 1,824,893,937 and 3,746,530,818

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Solution

The third proportional to 1,824,893,937 and 3,746,530,818 is: 7,691,676,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,893,937 : 3,746,530,818 = 3,746,530,818 : x
  2. Step 2: Convert to fraction form
    1,824,893,937/3,746,530,818 = 3,746,530,818/x
  3. Step 3: Cross multiply
    1,824,893,937x = 3,746,530,818 × 3,746,530,818
  4. Step 4: Simplify right side
    1,824,893,937x = 14,036,493,170,223,749,120
  5. Step 5: Solve for x
    x = 14,036,493,170,223,749,120/1,824,893,937
  6. Step 6: Final answer
    x = 7,691,676,149.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.