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Finding the Third Proportional to 14,095,668 and 30,780,009

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Solution

The third proportional to 14,095,668 and 30,780,009 is: 67,212,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095,668 : 30,780,009 = 30,780,009 : x
  2. Step 2: Convert to fraction form
    14,095,668/30,780,009 = 30,780,009/x
  3. Step 3: Cross multiply
    14,095,668x = 30,780,009 × 30,780,009
  4. Step 4: Simplify right side
    14,095,668x = 947,408,954,040,081
  5. Step 5: Solve for x
    x = 947,408,954,040,081/14,095,668
  6. Step 6: Final answer
    x = 67,212,774.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.