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Finding the Third Proportional to 10,311,978.38 and 21,470,906.67

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Solution

The third proportional to 10,311,978.38 and 21,470,906.67 is: 44,705,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311,978.38 : 21,470,906.67 = 21,470,906.67 : x
  2. Step 2: Convert to fraction form
    10,311,978.38/21,470,906.67 = 21,470,906.67/x
  3. Step 3: Cross multiply
    10,311,978.38x = 21,470,906.67 × 21,470,906.67
  4. Step 4: Simplify right side
    10,311,978.38x = 460,999,833,312,366.38
  5. Step 5: Solve for x
    x = 460,999,833,312,366.38/10,311,978.38
  6. Step 6: Final answer
    x = 44,705,275.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.