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Finding the Third Proportional to 6,738,675,712 and 14,412,103,494

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Solution

The third proportional to 6,738,675,712 and 14,412,103,494 is: 30,823,374,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738,675,712 : 14,412,103,494 = 14,412,103,494 : x
  2. Step 2: Convert to fraction form
    6,738,675,712/14,412,103,494 = 14,412,103,494/x
  3. Step 3: Cross multiply
    6,738,675,712x = 14,412,103,494 × 14,412,103,494
  4. Step 4: Simplify right side
    6,738,675,712x = 207,708,727,121,767,006,208
  5. Step 5: Solve for x
    x = 207,708,727,121,767,006,208/6,738,675,712
  6. Step 6: Final answer
    x = 30,823,374,799.28

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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.