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Finding the Third Proportional to 721,974,105.56 and 1,582,355,376.56

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Solution

The third proportional to 721,974,105.56 and 1,582,355,376.56 is: 3,468,058,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,974,105.56 : 1,582,355,376.56 = 1,582,355,376.56 : x
  2. Step 2: Convert to fraction form
    721,974,105.56/1,582,355,376.56 = 1,582,355,376.56/x
  3. Step 3: Cross multiply
    721,974,105.56x = 1,582,355,376.56 × 1,582,355,376.56
  4. Step 4: Simplify right side
    721,974,105.56x = 2,503,848,537,736,251,392
  5. Step 5: Solve for x
    x = 2,503,848,537,736,251,392/721,974,105.56
  6. Step 6: Final answer
    x = 3,468,058,644.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.