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Finding the Third Proportional to 3,639,086,882 and 5,200,349,994

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Solution

The third proportional to 3,639,086,882 and 5,200,349,994 is: 7,431,435,669.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639,086,882 : 5,200,349,994 = 5,200,349,994 : x
  2. Step 2: Convert to fraction form
    3,639,086,882/5,200,349,994 = 5,200,349,994/x
  3. Step 3: Cross multiply
    3,639,086,882x = 5,200,349,994 × 5,200,349,994
  4. Step 4: Simplify right side
    3,639,086,882x = 27,043,640,060,095,799,296
  5. Step 5: Solve for x
    x = 27,043,640,060,095,799,296/3,639,086,882
  6. Step 6: Final answer
    x = 7,431,435,669.72

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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.