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Finding the Third Proportional to 13,707,968 and 30,106,524

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Solution

The third proportional to 13,707,968 and 30,106,524 is: 66,122,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707,968 : 30,106,524 = 30,106,524 : x
  2. Step 2: Convert to fraction form
    13,707,968/30,106,524 = 30,106,524/x
  3. Step 3: Cross multiply
    13,707,968x = 30,106,524 × 30,106,524
  4. Step 4: Simplify right side
    13,707,968x = 906,402,787,362,576
  5. Step 5: Solve for x
    x = 906,402,787,362,576/13,707,968
  6. Step 6: Final answer
    x = 66,122,330.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.