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Finding the Third Proportional to 952,609,756 and 2,051,184,266

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Solution

The third proportional to 952,609,756 and 2,051,184,266 is: 4,416,663,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,609,756 : 2,051,184,266 = 2,051,184,266 : x
  2. Step 2: Convert to fraction form
    952,609,756/2,051,184,266 = 2,051,184,266/x
  3. Step 3: Cross multiply
    952,609,756x = 2,051,184,266 × 2,051,184,266
  4. Step 4: Simplify right side
    952,609,756x = 4,207,356,893,085,958,656
  5. Step 5: Solve for x
    x = 4,207,356,893,085,958,656/952,609,756
  6. Step 6: Final answer
    x = 4,416,663,661.68

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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.