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Finding the Third Proportional to 12,786,842 and 27,387,436

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Solution

The third proportional to 12,786,842 and 27,387,436 is: 58,659,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,786,842 : 27,387,436 = 27,387,436 : x
  2. Step 2: Convert to fraction form
    12,786,842/27,387,436 = 27,387,436/x
  3. Step 3: Cross multiply
    12,786,842x = 27,387,436 × 27,387,436
  4. Step 4: Simplify right side
    12,786,842x = 750,071,650,654,096
  5. Step 5: Solve for x
    x = 750,071,650,654,096/12,786,842
  6. Step 6: Final answer
    x = 58,659,647.99

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