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Finding the Third Proportional to 12,671,493.75 and 19,629,806.63

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Solution

The third proportional to 12,671,493.75 and 19,629,806.63 is: 30,409,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,671,493.75 : 19,629,806.63 = 19,629,806.63 : x
  2. Step 2: Convert to fraction form
    12,671,493.75/19,629,806.63 = 19,629,806.63/x
  3. Step 3: Cross multiply
    12,671,493.75x = 19,629,806.63 × 19,629,806.63
  4. Step 4: Simplify right side
    12,671,493.75x = 385,329,308,134,893.88
  5. Step 5: Solve for x
    x = 385,329,308,134,893.88/12,671,493.75
  6. Step 6: Final answer
    x = 30,409,146.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.