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Finding the Third Proportional to 1,585,347,942 and 3,315,247,836

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Solution

The third proportional to 1,585,347,942 and 3,315,247,836 is: 6,932,779,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,347,942 : 3,315,247,836 = 3,315,247,836 : x
  2. Step 2: Convert to fraction form
    1,585,347,942/3,315,247,836 = 3,315,247,836/x
  3. Step 3: Cross multiply
    1,585,347,942x = 3,315,247,836 × 3,315,247,836
  4. Step 4: Simplify right side
    1,585,347,942x = 10,990,868,214,102,683,648
  5. Step 5: Solve for x
    x = 10,990,868,214,102,683,648/1,585,347,942
  6. Step 6: Final answer
    x = 6,932,779,816.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.