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Finding the Third Proportional to 4,787,816 and 10,239,184

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Solution

The third proportional to 4,787,816 and 10,239,184 is: 21,897,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787,816 : 10,239,184 = 10,239,184 : x
  2. Step 2: Convert to fraction form
    4,787,816/10,239,184 = 10,239,184/x
  3. Step 3: Cross multiply
    4,787,816x = 10,239,184 × 10,239,184
  4. Step 4: Simplify right side
    4,787,816x = 104,840,888,985,856
  5. Step 5: Solve for x
    x = 104,840,888,985,856/4,787,816
  6. Step 6: Final answer
    x = 21,897,434.86

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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.