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Finding the Third Proportional to 212,364,860 and 500,603,007

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Solution

The third proportional to 212,364,860 and 500,603,007 is: 1,180,060,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364,860 : 500,603,007 = 500,603,007 : x
  2. Step 2: Convert to fraction form
    212,364,860/500,603,007 = 500,603,007/x
  3. Step 3: Cross multiply
    212,364,860x = 500,603,007 × 500,603,007
  4. Step 4: Simplify right side
    212,364,860x = 250,603,370,617,442,048
  5. Step 5: Solve for x
    x = 250,603,370,617,442,048/212,364,860
  6. Step 6: Final answer
    x = 1,180,060,442.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.