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Finding the Third Proportional to 47,545,264,554 and 103,633,505,922

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Solution

The third proportional to 47,545,264,554 and 103,633,505,922 is: 225,887,975,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,545,264,554 : 103,633,505,922 = 103,633,505,922 : x
  2. Step 2: Convert to fraction form
    47,545,264,554/103,633,505,922 = 103,633,505,922/x
  3. Step 3: Cross multiply
    47,545,264,554x = 103,633,505,922 × 103,633,505,922
  4. Step 4: Simplify right side
    47,545,264,554x = 10,739,903,549,685,209,497,600
  5. Step 5: Solve for x
    x = 10,739,903,549,685,209,497,600/47,545,264,554
  6. Step 6: Final answer
    x = 225,887,975,394.21

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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.