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Finding the Third Proportional to 37,439,503,924 and 76,186,554,344

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Solution

The third proportional to 37,439,503,924 and 76,186,554,344 is: 155,033,866,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,439,503,924 : 76,186,554,344 = 76,186,554,344 : x
  2. Step 2: Convert to fraction form
    37,439,503,924/76,186,554,344 = 76,186,554,344/x
  3. Step 3: Cross multiply
    37,439,503,924x = 76,186,554,344 × 76,186,554,344
  4. Step 4: Simplify right side
    37,439,503,924x = 5,804,391,062,811,264,942,080
  5. Step 5: Solve for x
    x = 5,804,391,062,811,264,942,080/37,439,503,924
  6. Step 6: Final answer
    x = 155,033,866,757.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.