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Finding the Third Proportional to 47,545,264,570 and 103,633,505,950

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Solution

The third proportional to 47,545,264,570 and 103,633,505,950 is: 225,887,975,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,545,264,570 : 103,633,505,950 = 103,633,505,950 : x
  2. Step 2: Convert to fraction form
    47,545,264,570/103,633,505,950 = 103,633,505,950/x
  3. Step 3: Cross multiply
    47,545,264,570x = 103,633,505,950 × 103,633,505,950
  4. Step 4: Simplify right side
    47,545,264,570x = 10,739,903,555,488,685,490,176
  5. Step 5: Solve for x
    x = 10,739,903,555,488,685,490,176/47,545,264,570
  6. Step 6: Final answer
    x = 225,887,975,440.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.