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Finding the Third Proportional to 1,054,362,798 and 2,195,993,700

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Solution

The third proportional to 1,054,362,798 and 2,195,993,700 is: 4,573,746,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,362,798 : 2,195,993,700 = 2,195,993,700 : x
  2. Step 2: Convert to fraction form
    1,054,362,798/2,195,993,700 = 2,195,993,700/x
  3. Step 3: Cross multiply
    1,054,362,798x = 2,195,993,700 × 2,195,993,700
  4. Step 4: Simplify right side
    1,054,362,798x = 4,822,388,330,439,690,240
  5. Step 5: Solve for x
    x = 4,822,388,330,439,690,240/1,054,362,798
  6. Step 6: Final answer
    x = 4,573,746,664.42

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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.