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Finding the Third Proportional to 15,524,522,064 and 33,769,100,916

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Solution

The third proportional to 15,524,522,064 and 33,769,100,916 is: 73,454,897,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524,522,064 : 33,769,100,916 = 33,769,100,916 : x
  2. Step 2: Convert to fraction form
    15,524,522,064/33,769,100,916 = 33,769,100,916/x
  3. Step 3: Cross multiply
    15,524,522,064x = 33,769,100,916 × 33,769,100,916
  4. Step 4: Simplify right side
    15,524,522,064x = 1,140,352,176,674,992,029,696
  5. Step 5: Solve for x
    x = 1,140,352,176,674,992,029,696/15,524,522,064
  6. Step 6: Final answer
    x = 73,454,897,482.44

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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.