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Finding the Third Proportional to 1,018,955,760 and 2,222,371,296

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Solution

The third proportional to 1,018,955,760 and 2,222,371,296 is: 4,847,054,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,955,760 : 2,222,371,296 = 2,222,371,296 : x
  2. Step 2: Convert to fraction form
    1,018,955,760/2,222,371,296 = 2,222,371,296/x
  3. Step 3: Cross multiply
    1,018,955,760x = 2,222,371,296 × 2,222,371,296
  4. Step 4: Simplify right side
    1,018,955,760x = 4,938,934,177,284,719,616
  5. Step 5: Solve for x
    x = 4,938,934,177,284,719,616/1,018,955,760
  6. Step 6: Final answer
    x = 4,847,054,574.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.