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Finding the Third Proportional to 539,103,951 and 770,392,021.50

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Solution

The third proportional to 539,103,951 and 770,392,021.50 is: 1,100,908,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,103,951 : 770,392,021.50 = 770,392,021.50 : x
  2. Step 2: Convert to fraction form
    539,103,951/770,392,021.50 = 770,392,021.50/x
  3. Step 3: Cross multiply
    539,103,951x = 770,392,021.50 × 770,392,021.50
  4. Step 4: Simplify right side
    539,103,951x = 593,503,866,790,856,448
  5. Step 5: Solve for x
    x = 593,503,866,790,856,448/539,103,951
  6. Step 6: Final answer
    x = 1,100,908,026.53

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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.