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Finding the Third Proportional to 6,905,234 and 10,453,819

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Solution

The third proportional to 6,905,234 and 10,453,819 is: 15,826,014.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,234 : 10,453,819 = 10,453,819 : x
  2. Step 2: Convert to fraction form
    6,905,234/10,453,819 = 10,453,819/x
  3. Step 3: Cross multiply
    6,905,234x = 10,453,819 × 10,453,819
  4. Step 4: Simplify right side
    6,905,234x = 109,282,331,684,761
  5. Step 5: Solve for x
    x = 109,282,331,684,761/6,905,234
  6. Step 6: Final answer
    x = 15,826,014.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.