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Finding the Third Proportional to 11,551,585,599 and 25,317,685,845

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Solution

The third proportional to 11,551,585,599 and 25,317,685,845 is: 55,488,937,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551,585,599 : 25,317,685,845 = 25,317,685,845 : x
  2. Step 2: Convert to fraction form
    11,551,585,599/25,317,685,845 = 25,317,685,845/x
  3. Step 3: Cross multiply
    11,551,585,599x = 25,317,685,845 × 25,317,685,845
  4. Step 4: Simplify right side
    11,551,585,599x = 640,985,216,546,113,323,008
  5. Step 5: Solve for x
    x = 640,985,216,546,113,323,008/11,551,585,599
  6. Step 6: Final answer
    x = 55,488,937,951.65

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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.