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Finding the Third Proportional to 30,819,406 and 46,269,648

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Solution

The third proportional to 30,819,406 and 46,269,648 is: 69,465,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819,406 : 46,269,648 = 46,269,648 : x
  2. Step 2: Convert to fraction form
    30,819,406/46,269,648 = 46,269,648/x
  3. Step 3: Cross multiply
    30,819,406x = 46,269,648 × 46,269,648
  4. Step 4: Simplify right side
    30,819,406x = 2,140,880,326,043,904
  5. Step 5: Solve for x
    x = 2,140,880,326,043,904/30,819,406
  6. Step 6: Final answer
    x = 69,465,333.82

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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.