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Finding the Third Proportional to 11,551,585,596 and 25,317,685,839

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Solution

The third proportional to 11,551,585,596 and 25,317,685,839 is: 55,488,937,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551,585,596 : 25,317,685,839 = 25,317,685,839 : x
  2. Step 2: Convert to fraction form
    11,551,585,596/25,317,685,839 = 25,317,685,839/x
  3. Step 3: Cross multiply
    11,551,585,596x = 25,317,685,839 × 25,317,685,839
  4. Step 4: Simplify right side
    11,551,585,596x = 640,985,216,242,301,140,992
  5. Step 5: Solve for x
    x = 640,985,216,242,301,140,992/11,551,585,596
  6. Step 6: Final answer
    x = 55,488,937,939.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.