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Finding the Third Proportional to 7,824,120 and 11,968,668

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Solution

The third proportional to 7,824,120 and 11,968,668 is: 18,308,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,120 : 11,968,668 = 11,968,668 : x
  2. Step 2: Convert to fraction form
    7,824,120/11,968,668 = 11,968,668/x
  3. Step 3: Cross multiply
    7,824,120x = 11,968,668 × 11,968,668
  4. Step 4: Simplify right side
    7,824,120x = 143,249,013,694,224
  5. Step 5: Solve for x
    x = 143,249,013,694,224/7,824,120
  6. Step 6: Final answer
    x = 18,308,642.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.