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Finding the Third Proportional to 5,178,954 and 7,840,413

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Solution

The third proportional to 5,178,954 and 7,840,413 is: 11,869,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,954 : 7,840,413 = 7,840,413 : x
  2. Step 2: Convert to fraction form
    5,178,954/7,840,413 = 7,840,413/x
  3. Step 3: Cross multiply
    5,178,954x = 7,840,413 × 7,840,413
  4. Step 4: Simplify right side
    5,178,954x = 61,472,076,010,569
  5. Step 5: Solve for x
    x = 61,472,076,010,569/5,178,954
  6. Step 6: Final answer
    x = 11,869,592.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.