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Finding the Third Proportional to 845,568,480 and 1,857,418,944

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Solution

The third proportional to 845,568,480 and 1,857,418,944 is: 4,080,101,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,568,480 : 1,857,418,944 = 1,857,418,944 : x
  2. Step 2: Convert to fraction form
    845,568,480/1,857,418,944 = 1,857,418,944/x
  3. Step 3: Cross multiply
    845,568,480x = 1,857,418,944 × 1,857,418,944
  4. Step 4: Simplify right side
    845,568,480x = 3,450,005,133,530,075,136
  5. Step 5: Solve for x
    x = 3,450,005,133,530,075,136/845,568,480
  6. Step 6: Final answer
    x = 4,080,101,393.48

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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.