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Finding the Third Proportional to 845,568,464 and 1,857,418,912

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Solution

The third proportional to 845,568,464 and 1,857,418,912 is: 4,080,101,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,568,464 : 1,857,418,912 = 1,857,418,912 : x
  2. Step 2: Convert to fraction form
    845,568,464/1,857,418,912 = 1,857,418,912/x
  3. Step 3: Cross multiply
    845,568,464x = 1,857,418,912 × 1,857,418,912
  4. Step 4: Simplify right side
    845,568,464x = 3,450,005,014,655,263,744
  5. Step 5: Solve for x
    x = 3,450,005,014,655,263,744/845,568,464
  6. Step 6: Final answer
    x = 4,080,101,330.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.