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Finding the Third Proportional to 1,873,392,336,712 and 2,527,646,090,874

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Solution

The third proportional to 1,873,392,336,712 and 2,527,646,090,874 is: 3,410,388,008,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,392,336,712 : 2,527,646,090,874 = 2,527,646,090,874 : x
  2. Step 2: Convert to fraction form
    1,873,392,336,712/2,527,646,090,874 = 2,527,646,090,874/x
  3. Step 3: Cross multiply
    1,873,392,336,712x = 2,527,646,090,874 × 2,527,646,090,874
  4. Step 4: Simplify right side
    1,873,392,336,712x = 6,388,994,760,710,613,880,537,088
  5. Step 5: Solve for x
    x = 6,388,994,760,710,613,880,537,088/1,873,392,336,712
  6. Step 6: Final answer
    x = 3,410,388,008,698.69

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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.