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Finding the Third Proportional to 539,103,942 and 770,392,008

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Solution

The third proportional to 539,103,942 and 770,392,008 is: 1,100,908,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,103,942 : 770,392,008 = 770,392,008 : x
  2. Step 2: Convert to fraction form
    539,103,942/770,392,008 = 770,392,008/x
  3. Step 3: Cross multiply
    539,103,942x = 770,392,008 × 770,392,008
  4. Step 4: Simplify right side
    539,103,942x = 593,503,845,990,272,000
  5. Step 5: Solve for x
    x = 593,503,845,990,272,000/539,103,942
  6. Step 6: Final answer
    x = 1,100,908,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.