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Finding the Third Proportional to 4,046,466 and 8,467,030

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Solution

The third proportional to 4,046,466 and 8,467,030 is: 17,716,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,466 : 8,467,030 = 8,467,030 : x
  2. Step 2: Convert to fraction form
    4,046,466/8,467,030 = 8,467,030/x
  3. Step 3: Cross multiply
    4,046,466x = 8,467,030 × 8,467,030
  4. Step 4: Simplify right side
    4,046,466x = 71,690,597,020,900
  5. Step 5: Solve for x
    x = 71,690,597,020,900/4,046,466
  6. Step 6: Final answer
    x = 17,716,841.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.