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Finding the Third Proportional to 18,923,164 and 29,650,697

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Solution

The third proportional to 18,923,164 and 29,650,697 is: 46,459,663.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,923,164 : 29,650,697 = 29,650,697 : x
  2. Step 2: Convert to fraction form
    18,923,164/29,650,697 = 29,650,697/x
  3. Step 3: Cross multiply
    18,923,164x = 29,650,697 × 29,650,697
  4. Step 4: Simplify right side
    18,923,164x = 879,163,832,585,809
  5. Step 5: Solve for x
    x = 879,163,832,585,809/18,923,164
  6. Step 6: Final answer
    x = 46,459,663.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.