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Finding the Third Proportional to 12,808,168 and 19,810,772

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Solution

The third proportional to 12,808,168 and 19,810,772 is: 30,641,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,168 : 19,810,772 = 19,810,772 : x
  2. Step 2: Convert to fraction form
    12,808,168/19,810,772 = 19,810,772/x
  3. Step 3: Cross multiply
    12,808,168x = 19,810,772 × 19,810,772
  4. Step 4: Simplify right side
    12,808,168x = 392,466,687,235,984
  5. Step 5: Solve for x
    x = 392,466,687,235,984/12,808,168
  6. Step 6: Final answer
    x = 30,641,906.57

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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.