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Finding the Third Proportional to 46,539,444 and 100,512,744

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Solution

The third proportional to 46,539,444 and 100,512,744 is: 217,080,627.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,539,444 : 100,512,744 = 100,512,744 : x
  2. Step 2: Convert to fraction form
    46,539,444/100,512,744 = 100,512,744/x
  3. Step 3: Cross multiply
    46,539,444x = 100,512,744 × 100,512,744
  4. Step 4: Simplify right side
    46,539,444x = 10,102,811,706,409,536
  5. Step 5: Solve for x
    x = 10,102,811,706,409,536/46,539,444
  6. Step 6: Final answer
    x = 217,080,627.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.