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Finding the Third Proportional to 2,047,225,436 and 4,420,666,952

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Solution

The third proportional to 2,047,225,436 and 4,420,666,952 is: 9,545,747,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,225,436 : 4,420,666,952 = 4,420,666,952 : x
  2. Step 2: Convert to fraction form
    2,047,225,436/4,420,666,952 = 4,420,666,952/x
  3. Step 3: Cross multiply
    2,047,225,436x = 4,420,666,952 × 4,420,666,952
  4. Step 4: Simplify right side
    2,047,225,436x = 19,542,296,300,504,969,216
  5. Step 5: Solve for x
    x = 19,542,296,300,504,969,216/2,047,225,436
  6. Step 6: Final answer
    x = 9,545,747,115.51

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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.