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Finding the Third Proportional to 740,410,042,876 and 1,501,638,731,091

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Solution

The third proportional to 740,410,042,876 and 1,501,638,731,091 is: 3,045,500,125,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,410,042,876 : 1,501,638,731,091 = 1,501,638,731,091 : x
  2. Step 2: Convert to fraction form
    740,410,042,876/1,501,638,731,091 = 1,501,638,731,091/x
  3. Step 3: Cross multiply
    740,410,042,876x = 1,501,638,731,091 × 1,501,638,731,091
  4. Step 4: Simplify right side
    740,410,042,876x = 2,254,918,878,712,588,658,540,544
  5. Step 5: Solve for x
    x = 2,254,918,878,712,588,658,540,544/740,410,042,876
  6. Step 6: Final answer
    x = 3,045,500,125,786.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.