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Finding the Third Proportional to 1,054,362,472 and 2,195,993,048

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Solution

The third proportional to 1,054,362,472 and 2,195,993,048 is: 4,573,745,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,362,472 : 2,195,993,048 = 2,195,993,048 : x
  2. Step 2: Convert to fraction form
    1,054,362,472/2,195,993,048 = 2,195,993,048/x
  3. Step 3: Cross multiply
    1,054,362,472x = 2,195,993,048 × 2,195,993,048
  4. Step 4: Simplify right side
    1,054,362,472x = 4,822,385,466,864,330,752
  5. Step 5: Solve for x
    x = 4,822,385,466,864,330,752/1,054,362,472
  6. Step 6: Final answer
    x = 4,573,745,362.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.