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Finding the Third Proportional to 4,307,097 and 6,672,405

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Solution

The third proportional to 4,307,097 and 6,672,405 is: 10,336,657.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307,097 : 6,672,405 = 6,672,405 : x
  2. Step 2: Convert to fraction form
    4,307,097/6,672,405 = 6,672,405/x
  3. Step 3: Cross multiply
    4,307,097x = 6,672,405 × 6,672,405
  4. Step 4: Simplify right side
    4,307,097x = 44,520,988,484,025
  5. Step 5: Solve for x
    x = 44,520,988,484,025/4,307,097
  6. Step 6: Final answer
    x = 10,336,657.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.