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Finding the Third Proportional to 1,546,881,333 and 2,453,449,819.50

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Solution

The third proportional to 1,546,881,333 and 2,453,449,819.50 is: 3,891,323,715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,881,333 : 2,453,449,819.50 = 2,453,449,819.50 : x
  2. Step 2: Convert to fraction form
    1,546,881,333/2,453,449,819.50 = 2,453,449,819.50/x
  3. Step 3: Cross multiply
    1,546,881,333x = 2,453,449,819.50 × 2,453,449,819.50
  4. Step 4: Simplify right side
    1,546,881,333x = 6,019,416,016,804,582,400
  5. Step 5: Solve for x
    x = 6,019,416,016,804,582,400/1,546,881,333
  6. Step 6: Final answer
    x = 3,891,323,715.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.