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Finding the Third Proportional to 1,873,392,336,720 and 2,527,646,090,904

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Solution

The third proportional to 1,873,392,336,720 and 2,527,646,090,904 is: 3,410,388,008,765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,392,336,720 : 2,527,646,090,904 = 2,527,646,090,904 : x
  2. Step 2: Convert to fraction form
    1,873,392,336,720/2,527,646,090,904 = 2,527,646,090,904/x
  3. Step 3: Cross multiply
    1,873,392,336,720x = 2,527,646,090,904 × 2,527,646,090,904
  4. Step 4: Simplify right side
    1,873,392,336,720x = 6,388,994,760,862,272,396,984,320
  5. Step 5: Solve for x
    x = 6,388,994,760,862,272,396,984,320/1,873,392,336,720
  6. Step 6: Final answer
    x = 3,410,388,008,765.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.