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Finding the Third Proportional to 1,367,735,407 and 3,225,500,149

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Solution

The third proportional to 1,367,735,407 and 3,225,500,149 is: 7,606,625,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,735,407 : 3,225,500,149 = 3,225,500,149 : x
  2. Step 2: Convert to fraction form
    1,367,735,407/3,225,500,149 = 3,225,500,149/x
  3. Step 3: Cross multiply
    1,367,735,407x = 3,225,500,149 × 3,225,500,149
  4. Step 4: Simplify right side
    1,367,735,407x = 10,403,851,211,199,023,104
  5. Step 5: Solve for x
    x = 10,403,851,211,199,023,104/1,367,735,407
  6. Step 6: Final answer
    x = 7,606,625,636.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.