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Finding the Third Proportional to 3,230,338,602 and 7,011,991,876

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Solution

The third proportional to 3,230,338,602 and 7,011,991,876 is: 15,220,704,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230,338,602 : 7,011,991,876 = 7,011,991,876 : x
  2. Step 2: Convert to fraction form
    3,230,338,602/7,011,991,876 = 7,011,991,876/x
  3. Step 3: Cross multiply
    3,230,338,602x = 7,011,991,876 × 7,011,991,876
  4. Step 4: Simplify right side
    3,230,338,602x = 49,168,030,069,090,000,896
  5. Step 5: Solve for x
    x = 49,168,030,069,090,000,896/3,230,338,602
  6. Step 6: Final answer
    x = 15,220,704,739.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.