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Finding the Third Proportional to 3,668,184 and 8,631,081

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Solution

The third proportional to 3,668,184 and 8,631,081 is: 20,308,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668,184 : 8,631,081 = 8,631,081 : x
  2. Step 2: Convert to fraction form
    3,668,184/8,631,081 = 8,631,081/x
  3. Step 3: Cross multiply
    3,668,184x = 8,631,081 × 8,631,081
  4. Step 4: Simplify right side
    3,668,184x = 74,495,559,228,561
  5. Step 5: Solve for x
    x = 74,495,559,228,561/3,668,184
  6. Step 6: Final answer
    x = 20,308,566.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.