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Finding the Third Proportional to 12,859,678 and 19,894,211

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Solution

The third proportional to 12,859,678 and 19,894,211 is: 30,776,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859,678 : 19,894,211 = 19,894,211 : x
  2. Step 2: Convert to fraction form
    12,859,678/19,894,211 = 19,894,211/x
  3. Step 3: Cross multiply
    12,859,678x = 19,894,211 × 19,894,211
  4. Step 4: Simplify right side
    12,859,678x = 395,779,631,312,521
  5. Step 5: Solve for x
    x = 395,779,631,312,521/12,859,678
  6. Step 6: Final answer
    x = 30,776,791.71

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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.