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Finding the Third Proportional to 25,484,709,222 and 35,434,451,112

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Solution

The third proportional to 25,484,709,222 and 35,434,451,112 is: 49,268,771,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,484,709,222 : 35,434,451,112 = 35,434,451,112 : x
  2. Step 2: Convert to fraction form
    25,484,709,222/35,434,451,112 = 35,434,451,112/x
  3. Step 3: Cross multiply
    25,484,709,222x = 35,434,451,112 × 35,434,451,112
  4. Step 4: Simplify right side
    25,484,709,222x = 1,255,600,325,608,717,942,784
  5. Step 5: Solve for x
    x = 1,255,600,325,608,717,942,784/25,484,709,222
  6. Step 6: Final answer
    x = 49,268,771,900.48

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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.