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Finding the Third Proportional to 377,582,884 and 830,095,956

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Solution

The third proportional to 377,582,884 and 830,095,956 is: 1,824,921,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,582,884 : 830,095,956 = 830,095,956 : x
  2. Step 2: Convert to fraction form
    377,582,884/830,095,956 = 830,095,956/x
  3. Step 3: Cross multiply
    377,582,884x = 830,095,956 × 830,095,956
  4. Step 4: Simplify right side
    377,582,884x = 689,059,296,167,553,920
  5. Step 5: Solve for x
    x = 689,059,296,167,553,920/377,582,884
  6. Step 6: Final answer
    x = 1,824,921,958.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.