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Finding the Third Proportional to 1,343,749,275 and 2,086,372,014

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Solution

The third proportional to 1,343,749,275 and 2,086,372,014 is: 3,239,405,045.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,749,275 : 2,086,372,014 = 2,086,372,014 : x
  2. Step 2: Convert to fraction form
    1,343,749,275/2,086,372,014 = 2,086,372,014/x
  3. Step 3: Cross multiply
    1,343,749,275x = 2,086,372,014 × 2,086,372,014
  4. Step 4: Simplify right side
    1,343,749,275x = 4,352,948,180,802,416,128
  5. Step 5: Solve for x
    x = 4,352,948,180,802,416,128/1,343,749,275
  6. Step 6: Final answer
    x = 3,239,405,045.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.