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Finding the Third Proportional to 23,354,627,916 and 48,364,902,312

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Solution

The third proportional to 23,354,627,916 and 48,364,902,312 is: 100,158,468,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354,627,916 : 48,364,902,312 = 48,364,902,312 : x
  2. Step 2: Convert to fraction form
    23,354,627,916/48,364,902,312 = 48,364,902,312/x
  3. Step 3: Cross multiply
    23,354,627,916x = 48,364,902,312 × 48,364,902,312
  4. Step 4: Simplify right side
    23,354,627,916x = 2,339,163,775,649,302,970,368
  5. Step 5: Solve for x
    x = 2,339,163,775,649,302,970,368/23,354,627,916
  6. Step 6: Final answer
    x = 100,158,468,979.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.