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Finding the Third Proportional to 725,285,028,894.20 and 1,552,455,368,748.60

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Solution

The third proportional to 725,285,028,894.20 and 1,552,455,368,748.60 is: 3,322,993,824,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,285,028,894.20 : 1,552,455,368,748.60 = 1,552,455,368,748.60 : x
  2. Step 2: Convert to fraction form
    725,285,028,894.20/1,552,455,368,748.60 = 1,552,455,368,748.60/x
  3. Step 3: Cross multiply
    725,285,028,894.20x = 1,552,455,368,748.60 × 1,552,455,368,748.60
  4. Step 4: Simplify right side
    725,285,028,894.20x = 2,410,117,671,956,351,991,939,072
  5. Step 5: Solve for x
    x = 2,410,117,671,956,351,991,939,072/725,285,028,894.20
  6. Step 6: Final answer
    x = 3,322,993,824,415.37

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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.