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Finding the Third Proportional to 10,163,016,884 and 22,014,421,096

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Solution

The third proportional to 10,163,016,884 and 22,014,421,096 is: 47,686,109,520.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163,016,884 : 22,014,421,096 = 22,014,421,096 : x
  2. Step 2: Convert to fraction form
    10,163,016,884/22,014,421,096 = 22,014,421,096/x
  3. Step 3: Cross multiply
    10,163,016,884x = 22,014,421,096 × 22,014,421,096
  4. Step 4: Simplify right side
    10,163,016,884x = 484,634,736,192,009,863,168
  5. Step 5: Solve for x
    x = 484,634,736,192,009,863,168/10,163,016,884
  6. Step 6: Final answer
    x = 47,686,109,520.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.