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Finding the Third Proportional to 4,886,216 and 10,529,768

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Solution

The third proportional to 4,886,216 and 10,529,768 is: 22,691,590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886,216 : 10,529,768 = 10,529,768 : x
  2. Step 2: Convert to fraction form
    4,886,216/10,529,768 = 10,529,768/x
  3. Step 3: Cross multiply
    4,886,216x = 10,529,768 × 10,529,768
  4. Step 4: Simplify right side
    4,886,216x = 110,876,014,133,824
  5. Step 5: Solve for x
    x = 110,876,014,133,824/4,886,216
  6. Step 6: Final answer
    x = 22,691,590.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.