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Finding the Third Proportional to 3,029,971 and 6,485,557

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Solution

The third proportional to 3,029,971 and 6,485,557 is: 13,882,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,971 : 6,485,557 = 6,485,557 : x
  2. Step 2: Convert to fraction form
    3,029,971/6,485,557 = 6,485,557/x
  3. Step 3: Cross multiply
    3,029,971x = 6,485,557 × 6,485,557
  4. Step 4: Simplify right side
    3,029,971x = 42,062,449,600,249
  5. Step 5: Solve for x
    x = 42,062,449,600,249/3,029,971
  6. Step 6: Final answer
    x = 13,882,129.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.