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Finding the Third Proportional to 4,347,288,424 and 9,548,613,456

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Solution

The third proportional to 4,347,288,424 and 9,548,613,456 is: 20,973,077,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347,288,424 : 9,548,613,456 = 9,548,613,456 : x
  2. Step 2: Convert to fraction form
    4,347,288,424/9,548,613,456 = 9,548,613,456/x
  3. Step 3: Cross multiply
    4,347,288,424x = 9,548,613,456 × 9,548,613,456
  4. Step 4: Simplify right side
    4,347,288,424x = 91,176,018,932,104,265,728
  5. Step 5: Solve for x
    x = 91,176,018,932,104,265,728/4,347,288,424
  6. Step 6: Final answer
    x = 20,973,077,937.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.