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Finding the Third Proportional to 365,388,853 and 852,603,453.13

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Solution

The third proportional to 365,388,853 and 852,603,453.13 is: 1,989,476,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,388,853 : 852,603,453.13 = 852,603,453.13 : x
  2. Step 2: Convert to fraction form
    365,388,853/852,603,453.13 = 852,603,453.13/x
  3. Step 3: Cross multiply
    365,388,853x = 852,603,453.13 × 852,603,453.13
  4. Step 4: Simplify right side
    365,388,853x = 726,932,648,280,674,048
  5. Step 5: Solve for x
    x = 726,932,648,280,674,048/365,388,853
  6. Step 6: Final answer
    x = 1,989,476,806.18

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.