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Finding the Third Proportional to 1,530,270,168 and 3,273,291,696

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Solution

The third proportional to 1,530,270,168 and 3,273,291,696 is: 7,001,664,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,270,168 : 3,273,291,696 = 3,273,291,696 : x
  2. Step 2: Convert to fraction form
    1,530,270,168/3,273,291,696 = 3,273,291,696/x
  3. Step 3: Cross multiply
    1,530,270,168x = 3,273,291,696 × 3,273,291,696
  4. Step 4: Simplify right side
    1,530,270,168x = 10,714,438,527,102,556,160
  5. Step 5: Solve for x
    x = 10,714,438,527,102,556,160/1,530,270,168
  6. Step 6: Final answer
    x = 7,001,664,641.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.