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Finding the Third Proportional to 13,103,370 and 20,268,306

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Solution

The third proportional to 13,103,370 and 20,268,306 is: 31,351,036.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103,370 : 20,268,306 = 20,268,306 : x
  2. Step 2: Convert to fraction form
    13,103,370/20,268,306 = 20,268,306/x
  3. Step 3: Cross multiply
    13,103,370x = 20,268,306 × 20,268,306
  4. Step 4: Simplify right side
    13,103,370x = 410,804,228,109,636
  5. Step 5: Solve for x
    x = 410,804,228,109,636/13,103,370
  6. Step 6: Final answer
    x = 31,351,036.27

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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.