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Finding the Third Proportional to 21,864,230,971,296 and 47,018,953,295,832

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Solution

The third proportional to 21,864,230,971,296 and 47,018,953,295,832 is: 101,114,096,898,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864,230,971,296 : 47,018,953,295,832 = 47,018,953,295,832 : x
  2. Step 2: Convert to fraction form
    21,864,230,971,296/47,018,953,295,832 = 47,018,953,295,832/x
  3. Step 3: Cross multiply
    21,864,230,971,296x = 47,018,953,295,832 × 47,018,953,295,832
  4. Step 4: Simplify right side
    21,864,230,971,296x = 2,210,781,969,035,630,959,942,172,672
  5. Step 5: Solve for x
    x = 2,210,781,969,035,630,959,942,172,672/21,864,230,971,296
  6. Step 6: Final answer
    x = 101,114,096,898,171.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.