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Finding the Third Proportional to 1,701,806,275 and 3,642,675,883

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Solution

The third proportional to 1,701,806,275 and 3,642,675,883 is: 7,797,061,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701,806,275 : 3,642,675,883 = 3,642,675,883 : x
  2. Step 2: Convert to fraction form
    1,701,806,275/3,642,675,883 = 3,642,675,883/x
  3. Step 3: Cross multiply
    1,701,806,275x = 3,642,675,883 × 3,642,675,883
  4. Step 4: Simplify right side
    1,701,806,275x = 13,269,087,588,589,830,144
  5. Step 5: Solve for x
    x = 13,269,087,588,589,830,144/1,701,806,275
  6. Step 6: Final answer
    x = 7,797,061,148.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.