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Finding the Third Proportional to 20,967,296 and 44,849,224

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Solution

The third proportional to 20,967,296 and 44,849,224 is: 95,932,870.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967,296 : 44,849,224 = 44,849,224 : x
  2. Step 2: Convert to fraction form
    20,967,296/44,849,224 = 44,849,224/x
  3. Step 3: Cross multiply
    20,967,296x = 44,849,224 × 44,849,224
  4. Step 4: Simplify right side
    20,967,296x = 2,011,452,893,402,176
  5. Step 5: Solve for x
    x = 2,011,452,893,402,176/20,967,296
  6. Step 6: Final answer
    x = 95,932,870.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.