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Finding the Third Proportional to 9,821,385 and 14,867,894.25

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Solution

The third proportional to 9,821,385 and 14,867,894.25 is: 22,507,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821,385 : 14,867,894.25 = 14,867,894.25 : x
  2. Step 2: Convert to fraction form
    9,821,385/14,867,894.25 = 14,867,894.25/x
  3. Step 3: Cross multiply
    9,821,385x = 14,867,894.25 × 14,867,894.25
  4. Step 4: Simplify right side
    9,821,385x = 221,054,279,429,183.06
  5. Step 5: Solve for x
    x = 221,054,279,429,183.06/9,821,385
  6. Step 6: Final answer
    x = 22,507,444.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.