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Finding the Third Proportional to 3,106,039,500 and 4,368,852,018

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Solution

The third proportional to 3,106,039,500 and 4,368,852,018 is: 6,145,082,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106,039,500 : 4,368,852,018 = 4,368,852,018 : x
  2. Step 2: Convert to fraction form
    3,106,039,500/4,368,852,018 = 4,368,852,018/x
  3. Step 3: Cross multiply
    3,106,039,500x = 4,368,852,018 × 4,368,852,018
  4. Step 4: Simplify right side
    3,106,039,500x = 19,086,867,955,182,673,920
  5. Step 5: Solve for x
    x = 19,086,867,955,182,673,920/3,106,039,500
  6. Step 6: Final answer
    x = 6,145,082,171.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.