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Finding the Third Proportional to 1,639,445,652 and 2,535,777,666

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Solution

The third proportional to 1,639,445,652 and 2,535,777,666 is: 3,922,160,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,639,445,652 : 2,535,777,666 = 2,535,777,666 : x
  2. Step 2: Convert to fraction form
    1,639,445,652/2,535,777,666 = 2,535,777,666/x
  3. Step 3: Cross multiply
    1,639,445,652x = 2,535,777,666 × 2,535,777,666
  4. Step 4: Simplify right side
    1,639,445,652x = 6,430,168,371,384,408,064
  5. Step 5: Solve for x
    x = 6,430,168,371,384,408,064/1,639,445,652
  6. Step 6: Final answer
    x = 3,922,160,129.88

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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.