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Finding the Third Proportional to 3,021,768 and 6,490,791

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Solution

The third proportional to 3,021,768 and 6,490,791 is: 13,942,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,768 : 6,490,791 = 6,490,791 : x
  2. Step 2: Convert to fraction form
    3,021,768/6,490,791 = 6,490,791/x
  3. Step 3: Cross multiply
    3,021,768x = 6,490,791 × 6,490,791
  4. Step 4: Simplify right side
    3,021,768x = 42,130,367,805,681
  5. Step 5: Solve for x
    x = 42,130,367,805,681/3,021,768
  6. Step 6: Final answer
    x = 13,942,290.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.