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Finding the Third Proportional to 30,501,666 and 46,467,180

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Solution

The third proportional to 30,501,666 and 46,467,180 is: 70,789,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,501,666 : 46,467,180 = 46,467,180 : x
  2. Step 2: Convert to fraction form
    30,501,666/46,467,180 = 46,467,180/x
  3. Step 3: Cross multiply
    30,501,666x = 46,467,180 × 46,467,180
  4. Step 4: Simplify right side
    30,501,666x = 2,159,198,817,152,400
  5. Step 5: Solve for x
    x = 2,159,198,817,152,400/30,501,666
  6. Step 6: Final answer
    x = 70,789,537.11

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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.