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Finding the Third Proportional to 12,364,374 and 18,914,721

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Solution

The third proportional to 12,364,374 and 18,914,721 is: 28,935,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,364,374 : 18,914,721 = 18,914,721 : x
  2. Step 2: Convert to fraction form
    12,364,374/18,914,721 = 18,914,721/x
  3. Step 3: Cross multiply
    12,364,374x = 18,914,721 × 18,914,721
  4. Step 4: Simplify right side
    12,364,374x = 357,766,670,507,841
  5. Step 5: Solve for x
    x = 357,766,670,507,841/12,364,374
  6. Step 6: Final answer
    x = 28,935,283.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.