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Finding the Third Proportional to 2,980,106.50 and 6,436,467

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Solution

The third proportional to 2,980,106.50 and 6,436,467 is: 13,901,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,106.50 : 6,436,467 = 6,436,467 : x
  2. Step 2: Convert to fraction form
    2,980,106.50/6,436,467 = 6,436,467/x
  3. Step 3: Cross multiply
    2,980,106.50x = 6,436,467 × 6,436,467
  4. Step 4: Simplify right side
    2,980,106.50x = 41,428,107,442,089
  5. Step 5: Solve for x
    x = 41,428,107,442,089/2,980,106.50
  6. Step 6: Final answer
    x = 13,901,552.66

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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.