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Finding the Third Proportional to 30,481,034 and 46,436,144

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Solution

The third proportional to 30,481,034 and 46,436,144 is: 70,742,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481,034 : 46,436,144 = 46,436,144 : x
  2. Step 2: Convert to fraction form
    30,481,034/46,436,144 = 46,436,144/x
  3. Step 3: Cross multiply
    30,481,034x = 46,436,144 × 46,436,144
  4. Step 4: Simplify right side
    30,481,034x = 2,156,315,469,588,736
  5. Step 5: Solve for x
    x = 2,156,315,469,588,736/30,481,034
  6. Step 6: Final answer
    x = 70,742,858.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.