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Finding the Third Proportional to 952,609,764 and 2,051,184,282

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Solution

The third proportional to 952,609,764 and 2,051,184,282 is: 4,416,663,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,609,764 : 2,051,184,282 = 2,051,184,282 : x
  2. Step 2: Convert to fraction form
    952,609,764/2,051,184,282 = 2,051,184,282/x
  3. Step 3: Cross multiply
    952,609,764x = 2,051,184,282 × 2,051,184,282
  4. Step 4: Simplify right side
    952,609,764x = 4,207,356,958,723,855,360
  5. Step 5: Solve for x
    x = 4,207,356,958,723,855,360/952,609,764
  6. Step 6: Final answer
    x = 4,416,663,693.49

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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.