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Finding the Third Proportional to 3,290,738,463 and 7,118,217,567

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Solution

The third proportional to 3,290,738,463 and 7,118,217,567 is: 15,397,462,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290,738,463 : 7,118,217,567 = 7,118,217,567 : x
  2. Step 2: Convert to fraction form
    3,290,738,463/7,118,217,567 = 7,118,217,567/x
  3. Step 3: Cross multiply
    3,290,738,463x = 7,118,217,567 × 7,118,217,567
  4. Step 4: Simplify right side
    3,290,738,463x = 50,669,021,331,147,399,168
  5. Step 5: Solve for x
    x = 50,669,021,331,147,399,168/3,290,738,463
  6. Step 6: Final answer
    x = 15,397,462,272.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.