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Finding the Third Proportional to 12,867,200 and 19,602,675

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Solution

The third proportional to 12,867,200 and 19,602,675 is: 29,863,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867,200 : 19,602,675 = 19,602,675 : x
  2. Step 2: Convert to fraction form
    12,867,200/19,602,675 = 19,602,675/x
  3. Step 3: Cross multiply
    12,867,200x = 19,602,675 × 19,602,675
  4. Step 4: Simplify right side
    12,867,200x = 384,264,867,155,625
  5. Step 5: Solve for x
    x = 384,264,867,155,625/12,867,200
  6. Step 6: Final answer
    x = 29,863,907.23

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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.