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Finding the Third Proportional to 4,599,858,321 and 10,005,659,403

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Solution

The third proportional to 4,599,858,321 and 10,005,659,403 is: 21,764,413,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599,858,321 : 10,005,659,403 = 10,005,659,403 : x
  2. Step 2: Convert to fraction form
    4,599,858,321/10,005,659,403 = 10,005,659,403/x
  3. Step 3: Cross multiply
    4,599,858,321x = 10,005,659,403 × 10,005,659,403
  4. Step 4: Simplify right side
    4,599,858,321x = 100,113,220,088,842,321,920
  5. Step 5: Solve for x
    x = 100,113,220,088,842,321,920/4,599,858,321
  6. Step 6: Final answer
    x = 21,764,413,836.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.