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Finding the Third Proportional to 2,289,257,541 and 4,958,828,064

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Solution

The third proportional to 2,289,257,541 and 4,958,828,064 is: 10,741,463,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,257,541 : 4,958,828,064 = 4,958,828,064 : x
  2. Step 2: Convert to fraction form
    2,289,257,541/4,958,828,064 = 4,958,828,064/x
  3. Step 3: Cross multiply
    2,289,257,541x = 4,958,828,064 × 4,958,828,064
  4. Step 4: Simplify right side
    2,289,257,541x = 24,589,975,768,313,987,072
  5. Step 5: Solve for x
    x = 24,589,975,768,313,987,072/2,289,257,541
  6. Step 6: Final answer
    x = 10,741,463,259.56

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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.