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Finding the Third Proportional to 1,270,257,036 and 2,644,903,287.75

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Solution

The third proportional to 1,270,257,036 and 2,644,903,287.75 is: 5,507,163,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,257,036 : 2,644,903,287.75 = 2,644,903,287.75 : x
  2. Step 2: Convert to fraction form
    1,270,257,036/2,644,903,287.75 = 2,644,903,287.75/x
  3. Step 3: Cross multiply
    1,270,257,036x = 2,644,903,287.75 × 2,644,903,287.75
  4. Step 4: Simplify right side
    1,270,257,036x = 6,995,513,401,550,758,912
  5. Step 5: Solve for x
    x = 6,995,513,401,550,758,912/1,270,257,036
  6. Step 6: Final answer
    x = 5,507,163,671.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.