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Finding the Third Proportional to 399,622,245,412 and 862,937,346,094

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Solution

The third proportional to 399,622,245,412 and 862,937,346,094 is: 1,863,411,939,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,622,245,412 : 862,937,346,094 = 862,937,346,094 : x
  2. Step 2: Convert to fraction form
    399,622,245,412/862,937,346,094 = 862,937,346,094/x
  3. Step 3: Cross multiply
    399,622,245,412x = 862,937,346,094 × 862,937,346,094
  4. Step 4: Simplify right side
    399,622,245,412x = 744,660,863,283,755,873,206,272
  5. Step 5: Solve for x
    x = 744,660,863,283,755,873,206,272/399,622,245,412
  6. Step 6: Final answer
    x = 1,863,411,939,232.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.