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Finding the Third Proportional to 2,422,971,232 and 5,270,471,904

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Solution

The third proportional to 2,422,971,232 and 5,270,471,904 is: 11,464,384,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,971,232 : 5,270,471,904 = 5,270,471,904 : x
  2. Step 2: Convert to fraction form
    2,422,971,232/5,270,471,904 = 5,270,471,904/x
  3. Step 3: Cross multiply
    2,422,971,232x = 5,270,471,904 × 5,270,471,904
  4. Step 4: Simplify right side
    2,422,971,232x = 27,777,874,090,853,384,192
  5. Step 5: Solve for x
    x = 27,777,874,090,853,384,192/2,422,971,232
  6. Step 6: Final answer
    x = 11,464,384,605.15

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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.