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Finding the Third Proportional to 12,959,214 and 27,841,611

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Solution

The third proportional to 12,959,214 and 27,841,611 is: 59,814,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959,214 : 27,841,611 = 27,841,611 : x
  2. Step 2: Convert to fraction form
    12,959,214/27,841,611 = 27,841,611/x
  3. Step 3: Cross multiply
    12,959,214x = 27,841,611 × 27,841,611
  4. Step 4: Simplify right side
    12,959,214x = 775,155,303,075,321
  5. Step 5: Solve for x
    x = 775,155,303,075,321/12,959,214
  6. Step 6: Final answer
    x = 59,814,993.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.