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Finding the Third Proportional to 5,994,960 and 9,142,608

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Solution

The third proportional to 5,994,960 and 9,142,608 is: 13,942,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994,960 : 9,142,608 = 9,142,608 : x
  2. Step 2: Convert to fraction form
    5,994,960/9,142,608 = 9,142,608/x
  3. Step 3: Cross multiply
    5,994,960x = 9,142,608 × 9,142,608
  4. Step 4: Simplify right side
    5,994,960x = 83,587,281,041,664
  5. Step 5: Solve for x
    x = 83,587,281,041,664/5,994,960
  6. Step 6: Final answer
    x = 13,942,925.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.