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Finding the Third Proportional to 4,072,234 and 8,426,351

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Solution

The third proportional to 4,072,234 and 8,426,351 is: 17,435,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072,234 : 8,426,351 = 8,426,351 : x
  2. Step 2: Convert to fraction form
    4,072,234/8,426,351 = 8,426,351/x
  3. Step 3: Cross multiply
    4,072,234x = 8,426,351 × 8,426,351
  4. Step 4: Simplify right side
    4,072,234x = 71,003,391,175,201
  5. Step 5: Solve for x
    x = 71,003,391,175,201/4,072,234
  6. Step 6: Final answer
    x = 17,435,980.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.