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Finding the Third Proportional to 2,330,501,647 and 4,993,419,640

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Solution

The third proportional to 2,330,501,647 and 4,993,419,640 is: 10,699,086,925.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,501,647 : 4,993,419,640 = 4,993,419,640 : x
  2. Step 2: Convert to fraction form
    2,330,501,647/4,993,419,640 = 4,993,419,640/x
  3. Step 3: Cross multiply
    2,330,501,647x = 4,993,419,640 × 4,993,419,640
  4. Step 4: Simplify right side
    2,330,501,647x = 24,934,239,701,137,731,584
  5. Step 5: Solve for x
    x = 24,934,239,701,137,731,584/2,330,501,647
  6. Step 6: Final answer
    x = 10,699,086,925.44

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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.