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Finding the Third Proportional to 1,530,270,163 and 3,273,291,686

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Solution

The third proportional to 1,530,270,163 and 3,273,291,686 is: 7,001,664,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,270,163 : 3,273,291,686 = 3,273,291,686 : x
  2. Step 2: Convert to fraction form
    1,530,270,163/3,273,291,686 = 3,273,291,686/x
  3. Step 3: Cross multiply
    1,530,270,163x = 3,273,291,686 × 3,273,291,686
  4. Step 4: Simplify right side
    1,530,270,163x = 10,714,438,461,636,722,688
  5. Step 5: Solve for x
    x = 10,714,438,461,636,722,688/1,530,270,163
  6. Step 6: Final answer
    x = 7,001,664,621.51

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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.