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Finding the Third Proportional to 2,678,871 and 5,877,996

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Solution

The third proportional to 2,678,871 and 5,877,996 is: 12,897,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,871 : 5,877,996 = 5,877,996 : x
  2. Step 2: Convert to fraction form
    2,678,871/5,877,996 = 5,877,996/x
  3. Step 3: Cross multiply
    2,678,871x = 5,877,996 × 5,877,996
  4. Step 4: Simplify right side
    2,678,871x = 34,550,836,976,016
  5. Step 5: Solve for x
    x = 34,550,836,976,016/2,678,871
  6. Step 6: Final answer
    x = 12,897,536.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.