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Finding the Third Proportional to 11,551,585,764 and 25,317,686,208

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Solution

The third proportional to 11,551,585,764 and 25,317,686,208 is: 55,488,938,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551,585,764 : 25,317,686,208 = 25,317,686,208 : x
  2. Step 2: Convert to fraction form
    11,551,585,764/25,317,686,208 = 25,317,686,208/x
  3. Step 3: Cross multiply
    11,551,585,764x = 25,317,686,208 × 25,317,686,208
  4. Step 4: Simplify right side
    11,551,585,764x = 640,985,234,926,753,415,168
  5. Step 5: Solve for x
    x = 640,985,234,926,753,415,168/11,551,585,764
  6. Step 6: Final answer
    x = 55,488,938,750.24

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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.