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Finding the Third Proportional to 14,945,998 and 32,184,253

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Solution

The third proportional to 14,945,998 and 32,184,253 is: 69,304,581.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,945,998 : 32,184,253 = 32,184,253 : x
  2. Step 2: Convert to fraction form
    14,945,998/32,184,253 = 32,184,253/x
  3. Step 3: Cross multiply
    14,945,998x = 32,184,253 × 32,184,253
  4. Step 4: Simplify right side
    14,945,998x = 1,035,826,141,168,009
  5. Step 5: Solve for x
    x = 1,035,826,141,168,009/14,945,998
  6. Step 6: Final answer
    x = 69,304,581.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.