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Finding the Third Proportional to 2,292,258,892,824 and 4,906,525,682,016

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Solution

The third proportional to 2,292,258,892,824 and 4,906,525,682,016 is: 10,502,301,613,333.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292,258,892,824 : 4,906,525,682,016 = 4,906,525,682,016 : x
  2. Step 2: Convert to fraction form
    2,292,258,892,824/4,906,525,682,016 = 4,906,525,682,016/x
  3. Step 3: Cross multiply
    2,292,258,892,824x = 4,906,525,682,016 × 4,906,525,682,016
  4. Step 4: Simplify right side
    2,292,258,892,824x = 24,073,994,268,282,574,392,524,800
  5. Step 5: Solve for x
    x = 24,073,994,268,282,574,392,524,800/2,292,258,892,824
  6. Step 6: Final answer
    x = 10,502,301,613,333.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.