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Finding the Third Proportional to 2,196,896,338 and 3,315,774,868

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Solution

The third proportional to 2,196,896,338 and 3,315,774,868 is: 5,004,497,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,896,338 : 3,315,774,868 = 3,315,774,868 : x
  2. Step 2: Convert to fraction form
    2,196,896,338/3,315,774,868 = 3,315,774,868/x
  3. Step 3: Cross multiply
    2,196,896,338x = 3,315,774,868 × 3,315,774,868
  4. Step 4: Simplify right side
    2,196,896,338x = 10,994,362,975,260,418,048
  5. Step 5: Solve for x
    x = 10,994,362,975,260,418,048/2,196,896,338
  6. Step 6: Final answer
    x = 5,004,497,838.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.