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Finding the Third Proportional to 21,973,176 and 47,729,205

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Solution

The third proportional to 21,973,176 and 47,729,205 is: 103,675,363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973,176 : 47,729,205 = 47,729,205 : x
  2. Step 2: Convert to fraction form
    21,973,176/47,729,205 = 47,729,205/x
  3. Step 3: Cross multiply
    21,973,176x = 47,729,205 × 47,729,205
  4. Step 4: Simplify right side
    21,973,176x = 2,278,077,009,932,025
  5. Step 5: Solve for x
    x = 2,278,077,009,932,025/21,973,176
  6. Step 6: Final answer
    x = 103,675,363.54

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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.