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Finding the Third Proportional to 1,343,749,256 and 2,086,371,984

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Solution

The third proportional to 1,343,749,256 and 2,086,371,984 is: 3,239,404,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343,749,256 : 2,086,371,984 = 2,086,371,984 : x
  2. Step 2: Convert to fraction form
    1,343,749,256/2,086,371,984 = 2,086,371,984/x
  3. Step 3: Cross multiply
    1,343,749,256x = 2,086,371,984 × 2,086,371,984
  4. Step 4: Simplify right side
    1,343,749,256x = 4,352,948,055,620,096,000
  5. Step 5: Solve for x
    x = 4,352,948,055,620,096,000/1,343,749,256
  6. Step 6: Final answer
    x = 3,239,404,997.76

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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.