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Finding the Third Proportional to 1,911,312,699,978 and 4,095,248,055,917

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Solution

The third proportional to 1,911,312,699,978 and 4,095,248,055,917 is: 8,774,627,322,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911,312,699,978 : 4,095,248,055,917 = 4,095,248,055,917 : x
  2. Step 2: Convert to fraction form
    1,911,312,699,978/4,095,248,055,917 = 4,095,248,055,917/x
  3. Step 3: Cross multiply
    1,911,312,699,978x = 4,095,248,055,917 × 4,095,248,055,917
  4. Step 4: Simplify right side
    1,911,312,699,978x = 16,771,056,639,491,967,209,701,376
  5. Step 5: Solve for x
    x = 16,771,056,639,491,967,209,701,376/1,911,312,699,978
  6. Step 6: Final answer
    x = 8,774,627,322,721.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.