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Finding the Third Proportional to 225,362,414 and 493,928,284

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Solution

The third proportional to 225,362,414 and 493,928,284 is: 1,082,545,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,362,414 : 493,928,284 = 493,928,284 : x
  2. Step 2: Convert to fraction form
    225,362,414/493,928,284 = 493,928,284/x
  3. Step 3: Cross multiply
    225,362,414x = 493,928,284 × 493,928,284
  4. Step 4: Simplify right side
    225,362,414x = 243,965,149,735,184,640
  5. Step 5: Solve for x
    x = 243,965,149,735,184,640/225,362,414
  6. Step 6: Final answer
    x = 1,082,545,866.48

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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.