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Finding the Third Proportional to 1,367,735,408 and 3,225,500,148

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Solution

The third proportional to 1,367,735,408 and 3,225,500,148 is: 7,606,625,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,735,408 : 3,225,500,148 = 3,225,500,148 : x
  2. Step 2: Convert to fraction form
    1,367,735,408/3,225,500,148 = 3,225,500,148/x
  3. Step 3: Cross multiply
    1,367,735,408x = 3,225,500,148 × 3,225,500,148
  4. Step 4: Simplify right side
    1,367,735,408x = 10,403,851,204,748,021,760
  5. Step 5: Solve for x
    x = 10,403,851,204,748,021,760/1,367,735,408
  6. Step 6: Final answer
    x = 7,606,625,626.49

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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.