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Finding the Third Proportional to 1,133,032,864 and 2,438,252,864

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Solution

The third proportional to 1,133,032,864 and 2,438,252,864 is: 5,247,047,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,032,864 : 2,438,252,864 = 2,438,252,864 : x
  2. Step 2: Convert to fraction form
    1,133,032,864/2,438,252,864 = 2,438,252,864/x
  3. Step 3: Cross multiply
    1,133,032,864x = 2,438,252,864 × 2,438,252,864
  4. Step 4: Simplify right side
    1,133,032,864x = 5,945,077,028,804,202,496
  5. Step 5: Solve for x
    x = 5,945,077,028,804,202,496/1,133,032,864
  6. Step 6: Final answer
    x = 5,247,047,299.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.