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Finding the Third Proportional to 1,725,595,305,378 and 3,751,539,697,444

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Solution

The third proportional to 1,725,595,305,378 and 3,751,539,697,444 is: 8,156,054,932,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,595,305,378 : 3,751,539,697,444 = 3,751,539,697,444 : x
  2. Step 2: Convert to fraction form
    1,725,595,305,378/3,751,539,697,444 = 3,751,539,697,444/x
  3. Step 3: Cross multiply
    1,725,595,305,378x = 3,751,539,697,444 × 3,751,539,697,444
  4. Step 4: Simplify right side
    1,725,595,305,378x = 14,074,050,101,498,218,956,193,792
  5. Step 5: Solve for x
    x = 14,074,050,101,498,218,956,193,792/1,725,595,305,378
  6. Step 6: Final answer
    x = 8,156,054,932,251.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.