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Finding the Third Proportional to 25,484,709,218 and 35,434,451,106

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Solution

The third proportional to 25,484,709,218 and 35,434,451,106 is: 49,268,771,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484,709,218 : 35,434,451,106 = 35,434,451,106 : x
  2. Step 2: Convert to fraction form
    25,484,709,218/35,434,451,106 = 35,434,451,106/x
  3. Step 3: Cross multiply
    25,484,709,218x = 35,434,451,106 × 35,434,451,106
  4. Step 4: Simplify right side
    25,484,709,218x = 1,255,600,325,183,504,646,144
  5. Step 5: Solve for x
    x = 1,255,600,325,183,504,646,144/25,484,709,218
  6. Step 6: Final answer
    x = 49,268,771,891.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.