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Finding the Third Proportional to 9,645,223.50 and 20,804,863.50

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Solution

The third proportional to 9,645,223.50 and 20,804,863.50 is: 44,876,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,223.50 : 20,804,863.50 = 20,804,863.50 : x
  2. Step 2: Convert to fraction form
    9,645,223.50/20,804,863.50 = 20,804,863.50/x
  3. Step 3: Cross multiply
    9,645,223.50x = 20,804,863.50 × 20,804,863.50
  4. Step 4: Simplify right side
    9,645,223.50x = 432,842,345,253,632.25
  5. Step 5: Solve for x
    x = 432,842,345,253,632.25/9,645,223.50
  6. Step 6: Final answer
    x = 44,876,341.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.