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Finding the Third Proportional to 250,500,402 and 518,184,027

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Solution

The third proportional to 250,500,402 and 518,184,027 is: 1,071,913,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,500,402 : 518,184,027 = 518,184,027 : x
  2. Step 2: Convert to fraction form
    250,500,402/518,184,027 = 518,184,027/x
  3. Step 3: Cross multiply
    250,500,402x = 518,184,027 × 518,184,027
  4. Step 4: Simplify right side
    250,500,402x = 268,514,685,837,936,736
  5. Step 5: Solve for x
    x = 268,514,685,837,936,736/250,500,402
  6. Step 6: Final answer
    x = 1,071,913,193.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.