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Finding the Third Proportional to 2,410,641 and 5,148,215.72

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Solution

The third proportional to 2,410,641 and 5,148,215.72 is: 10,994,637.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410,641 : 5,148,215.72 = 5,148,215.72 : x
  2. Step 2: Convert to fraction form
    2,410,641/5,148,215.72 = 5,148,215.72/x
  3. Step 3: Cross multiply
    2,410,641x = 5,148,215.72 × 5,148,215.72
  4. Step 4: Simplify right side
    2,410,641x = 26,504,125,086,784.58
  5. Step 5: Solve for x
    x = 26,504,125,086,784.58/2,410,641
  6. Step 6: Final answer
    x = 10,994,637.98

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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.