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Finding the Third Proportional to 6,738,675,706 and 14,412,103,481

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Solution

The third proportional to 6,738,675,706 and 14,412,103,481 is: 30,823,374,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,675,706 : 14,412,103,481 = 14,412,103,481 : x
  2. Step 2: Convert to fraction form
    6,738,675,706/14,412,103,481 = 14,412,103,481/x
  3. Step 3: Cross multiply
    6,738,675,706x = 14,412,103,481 × 14,412,103,481
  4. Step 4: Simplify right side
    6,738,675,706x = 207,708,726,747,052,310,528
  5. Step 5: Solve for x
    x = 207,708,726,747,052,310,528/6,738,675,706
  6. Step 6: Final answer
    x = 30,823,374,771.12

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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.