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Finding the Third Proportional to 17,944,064 and 39,362,176

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Solution

The third proportional to 17,944,064 and 39,362,176 is: 86,345,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,944,064 : 39,362,176 = 39,362,176 : x
  2. Step 2: Convert to fraction form
    17,944,064/39,362,176 = 39,362,176/x
  3. Step 3: Cross multiply
    17,944,064x = 39,362,176 × 39,362,176
  4. Step 4: Simplify right side
    17,944,064x = 1,549,380,899,454,976
  5. Step 5: Solve for x
    x = 1,549,380,899,454,976/17,944,064
  6. Step 6: Final answer
    x = 86,345,038.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.