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Finding the Third Proportional to 9,272,704 and 14,184,419.75

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Solution

The third proportional to 9,272,704 and 14,184,419.75 is: 21,697,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272,704 : 14,184,419.75 = 14,184,419.75 : x
  2. Step 2: Convert to fraction form
    9,272,704/14,184,419.75 = 14,184,419.75/x
  3. Step 3: Cross multiply
    9,272,704x = 14,184,419.75 × 14,184,419.75
  4. Step 4: Simplify right side
    9,272,704x = 201,197,763,644,190.06
  5. Step 5: Solve for x
    x = 201,197,763,644,190.06/9,272,704
  6. Step 6: Final answer
    x = 21,697,852.50

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Why These Related Problems?

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