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Finding the Third Proportional to 1,530,270,170 and 3,273,291,700

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Solution

The third proportional to 1,530,270,170 and 3,273,291,700 is: 7,001,664,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,270,170 : 3,273,291,700 = 3,273,291,700 : x
  2. Step 2: Convert to fraction form
    1,530,270,170/3,273,291,700 = 3,273,291,700/x
  3. Step 3: Cross multiply
    1,530,270,170x = 3,273,291,700 × 3,273,291,700
  4. Step 4: Simplify right side
    1,530,270,170x = 10,714,438,553,288,890,368
  5. Step 5: Solve for x
    x = 10,714,438,553,288,890,368/1,530,270,170
  6. Step 6: Final answer
    x = 7,001,664,649.38

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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.