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Finding the Third Proportional to 4,893,780 and 10,782,888

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Solution

The third proportional to 4,893,780 and 10,782,888 is: 23,758,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893,780 : 10,782,888 = 10,782,888 : x
  2. Step 2: Convert to fraction form
    4,893,780/10,782,888 = 10,782,888/x
  3. Step 3: Cross multiply
    4,893,780x = 10,782,888 × 10,782,888
  4. Step 4: Simplify right side
    4,893,780x = 116,270,673,620,544
  5. Step 5: Solve for x
    x = 116,270,673,620,544/4,893,780
  6. Step 6: Final answer
    x = 23,758,868.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.