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Finding the Third Proportional to 4,764,054 and 10,219,689

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Solution

The third proportional to 4,764,054 and 10,219,689 is: 21,922,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764,054 : 10,219,689 = 10,219,689 : x
  2. Step 2: Convert to fraction form
    4,764,054/10,219,689 = 10,219,689/x
  3. Step 3: Cross multiply
    4,764,054x = 10,219,689 × 10,219,689
  4. Step 4: Simplify right side
    4,764,054x = 104,442,043,256,721
  5. Step 5: Solve for x
    x = 104,442,043,256,721/4,764,054
  6. Step 6: Final answer
    x = 21,922,934.39

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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.