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Finding the Third Proportional to 2,047,223,968 and 4,420,664,144

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Solution

The third proportional to 2,047,223,968 and 4,420,664,144 is: 9,545,741,833.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,223,968 : 4,420,664,144 = 4,420,664,144 : x
  2. Step 2: Convert to fraction form
    2,047,223,968/4,420,664,144 = 4,420,664,144/x
  3. Step 3: Cross multiply
    2,047,223,968x = 4,420,664,144 × 4,420,664,144
  4. Step 4: Simplify right side
    2,047,223,968x = 19,542,271,474,047,254,528
  5. Step 5: Solve for x
    x = 19,542,271,474,047,254,528/2,047,223,968
  6. Step 6: Final answer
    x = 9,545,741,833.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.