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Finding the Third Proportional to 7,138,309 and 10,874,763

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Solution

The third proportional to 7,138,309 and 10,874,763 is: 16,567,014.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138,309 : 10,874,763 = 10,874,763 : x
  2. Step 2: Convert to fraction form
    7,138,309/10,874,763 = 10,874,763/x
  3. Step 3: Cross multiply
    7,138,309x = 10,874,763 × 10,874,763
  4. Step 4: Simplify right side
    7,138,309x = 118,260,470,306,169
  5. Step 5: Solve for x
    x = 118,260,470,306,169/7,138,309
  6. Step 6: Final answer
    x = 16,567,014.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.