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Finding the Third Proportional to 2,047,223,966 and 4,420,664,140

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Solution

The third proportional to 2,047,223,966 and 4,420,664,140 is: 9,545,741,825.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,223,966 : 4,420,664,140 = 4,420,664,140 : x
  2. Step 2: Convert to fraction form
    2,047,223,966/4,420,664,140 = 4,420,664,140/x
  3. Step 3: Cross multiply
    2,047,223,966x = 4,420,664,140 × 4,420,664,140
  4. Step 4: Simplify right side
    2,047,223,966x = 19,542,271,438,681,939,968
  5. Step 5: Solve for x
    x = 19,542,271,438,681,939,968/2,047,223,966
  6. Step 6: Final answer
    x = 9,545,741,825.63

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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.