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Finding the Third Proportional to 4,542,446.25 and 6,982,051.50

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Solution

The third proportional to 4,542,446.25 and 6,982,051.50 is: 10,731,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,446.25 : 6,982,051.50 = 6,982,051.50 : x
  2. Step 2: Convert to fraction form
    4,542,446.25/6,982,051.50 = 6,982,051.50/x
  3. Step 3: Cross multiply
    4,542,446.25x = 6,982,051.50 × 6,982,051.50
  4. Step 4: Simplify right side
    4,542,446.25x = 48,749,043,148,652.25
  5. Step 5: Solve for x
    x = 48,749,043,148,652.25/4,542,446.25
  6. Step 6: Final answer
    x = 10,731,892.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.