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Finding the Third Proportional to 4,879,224 and 10,307,751

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Solution

The third proportional to 4,879,224 and 10,307,751 is: 21,775,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879,224 : 10,307,751 = 10,307,751 : x
  2. Step 2: Convert to fraction form
    4,879,224/10,307,751 = 10,307,751/x
  3. Step 3: Cross multiply
    4,879,224x = 10,307,751 × 10,307,751
  4. Step 4: Simplify right side
    4,879,224x = 106,249,730,678,001
  5. Step 5: Solve for x
    x = 106,249,730,678,001/4,879,224
  6. Step 6: Final answer
    x = 21,775,948.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.