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Finding the Third Proportional to 2,330,501,656 and 4,993,419,656

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Solution

The third proportional to 2,330,501,656 and 4,993,419,656 is: 10,699,086,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,501,656 : 4,993,419,656 = 4,993,419,656 : x
  2. Step 2: Convert to fraction form
    2,330,501,656/4,993,419,656 = 4,993,419,656/x
  3. Step 3: Cross multiply
    2,330,501,656x = 4,993,419,656 × 4,993,419,656
  4. Step 4: Simplify right side
    2,330,501,656x = 24,934,239,860,927,160,320
  5. Step 5: Solve for x
    x = 24,934,239,860,927,160,320/2,330,501,656
  6. Step 6: Final answer
    x = 10,699,086,952.69

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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.