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Finding the Third Proportional to 1,018,809,081 and 1,529,291,958

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Solution

The third proportional to 1,018,809,081 and 1,529,291,958 is: 2,295,556,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,809,081 : 1,529,291,958 = 1,529,291,958 : x
  2. Step 2: Convert to fraction form
    1,018,809,081/1,529,291,958 = 1,529,291,958/x
  3. Step 3: Cross multiply
    1,018,809,081x = 1,529,291,958 × 1,529,291,958
  4. Step 4: Simplify right side
    1,018,809,081x = 2,338,733,892,803,473,920
  5. Step 5: Solve for x
    x = 2,338,733,892,803,473,920/1,018,809,081
  6. Step 6: Final answer
    x = 2,295,556,583.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.