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Finding the Third Proportional to 3,000,436 and 6,480,661

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Solution

The third proportional to 3,000,436 and 6,480,661 is: 13,997,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,436 : 6,480,661 = 6,480,661 : x
  2. Step 2: Convert to fraction form
    3,000,436/6,480,661 = 6,480,661/x
  3. Step 3: Cross multiply
    3,000,436x = 6,480,661 × 6,480,661
  4. Step 4: Simplify right side
    3,000,436x = 41,998,966,996,921
  5. Step 5: Solve for x
    x = 41,998,966,996,921/3,000,436
  6. Step 6: Final answer
    x = 13,997,621.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.