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Finding the Third Proportional to 3,557,372,038 and 7,727,132,868

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Solution

The third proportional to 3,557,372,038 and 7,727,132,868 is: 16,784,463,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557,372,038 : 7,727,132,868 = 7,727,132,868 : x
  2. Step 2: Convert to fraction form
    3,557,372,038/7,727,132,868 = 7,727,132,868/x
  3. Step 3: Cross multiply
    3,557,372,038x = 7,727,132,868 × 7,727,132,868
  4. Step 4: Simplify right side
    3,557,372,038x = 59,708,582,359,725,907,968
  5. Step 5: Solve for x
    x = 59,708,582,359,725,907,968/3,557,372,038
  6. Step 6: Final answer
    x = 16,784,463,846.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.