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Finding the Third Proportional to 1,891,405,910,988 and 2,824,714,649,878

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Solution

The third proportional to 1,891,405,910,988 and 2,824,714,649,878 is: 4,218,561,868,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,405,910,988 : 2,824,714,649,878 = 2,824,714,649,878 : x
  2. Step 2: Convert to fraction form
    1,891,405,910,988/2,824,714,649,878 = 2,824,714,649,878/x
  3. Step 3: Cross multiply
    1,891,405,910,988x = 2,824,714,649,878 × 2,824,714,649,878
  4. Step 4: Simplify right side
    1,891,405,910,988x = 7,979,012,853,235,392,545,030,144
  5. Step 5: Solve for x
    x = 7,979,012,853,235,392,545,030,144/1,891,405,910,988
  6. Step 6: Final answer
    x = 4,218,561,868,122.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.