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Finding the Third Proportional to 30,501,680 and 46,467,201

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Solution

The third proportional to 30,501,680 and 46,467,201 is: 70,789,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501,680 : 46,467,201 = 46,467,201 : x
  2. Step 2: Convert to fraction form
    30,501,680/46,467,201 = 46,467,201/x
  3. Step 3: Cross multiply
    30,501,680x = 46,467,201 × 46,467,201
  4. Step 4: Simplify right side
    30,501,680x = 2,159,200,768,774,401
  5. Step 5: Solve for x
    x = 2,159,200,768,774,401/30,501,680
  6. Step 6: Final answer
    x = 70,789,568.60

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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.