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Finding the Third Proportional to 481,839,523 and 650,114,644

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Solution

The third proportional to 481,839,523 and 650,114,644 is: 877,157,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,839,523 : 650,114,644 = 650,114,644 : x
  2. Step 2: Convert to fraction form
    481,839,523/650,114,644 = 650,114,644/x
  3. Step 3: Cross multiply
    481,839,523x = 650,114,644 × 650,114,644
  4. Step 4: Simplify right side
    481,839,523x = 422,649,050,343,246,720
  5. Step 5: Solve for x
    x = 422,649,050,343,246,720/481,839,523
  6. Step 6: Final answer
    x = 877,157,290.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.