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Finding the Third Proportional to 3,306,413,661 and 7,138,805,880

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Solution

The third proportional to 3,306,413,661 and 7,138,805,880 is: 15,413,240,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,413,661 : 7,138,805,880 = 7,138,805,880 : x
  2. Step 2: Convert to fraction form
    3,306,413,661/7,138,805,880 = 7,138,805,880/x
  3. Step 3: Cross multiply
    3,306,413,661x = 7,138,805,880 × 7,138,805,880
  4. Step 4: Simplify right side
    3,306,413,661x = 50,962,549,392,322,576,384
  5. Step 5: Solve for x
    x = 50,962,549,392,322,576,384/3,306,413,661
  6. Step 6: Final answer
    x = 15,413,240,633.93

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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.