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Finding the Third Proportional to 877,660,990.88 and 1,203,486,454.97

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Solution

The third proportional to 877,660,990.88 and 1,203,486,454.97 is: 1,650,272,328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,660,990.88 : 1,203,486,454.97 = 1,203,486,454.97 : x
  2. Step 2: Convert to fraction form
    877,660,990.88/1,203,486,454.97 = 1,203,486,454.97/x
  3. Step 3: Cross multiply
    877,660,990.88x = 1,203,486,454.97 × 1,203,486,454.97
  4. Step 4: Simplify right side
    877,660,990.88x = 1,448,379,647,293,369,600
  5. Step 5: Solve for x
    x = 1,448,379,647,293,369,600/877,660,990.88
  6. Step 6: Final answer
    x = 1,650,272,328.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.