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Finding the Third Proportional to 47,978,256 and 70,168,026

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Solution

The third proportional to 47,978,256 and 70,168,026 is: 102,620,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978,256 : 70,168,026 = 70,168,026 : x
  2. Step 2: Convert to fraction form
    47,978,256/70,168,026 = 70,168,026/x
  3. Step 3: Cross multiply
    47,978,256x = 70,168,026 × 70,168,026
  4. Step 4: Simplify right side
    47,978,256x = 4,923,551,872,736,676
  5. Step 5: Solve for x
    x = 4,923,551,872,736,676/47,978,256
  6. Step 6: Final answer
    x = 102,620,484.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.