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Finding the Third Proportional to 11,226,972 and 14,742,027

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Solution

The third proportional to 11,226,972 and 14,742,027 is: 19,357,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226,972 : 14,742,027 = 14,742,027 : x
  2. Step 2: Convert to fraction form
    11,226,972/14,742,027 = 14,742,027/x
  3. Step 3: Cross multiply
    11,226,972x = 14,742,027 × 14,742,027
  4. Step 4: Simplify right side
    11,226,972x = 217,327,360,068,729
  5. Step 5: Solve for x
    x = 217,327,360,068,729/11,226,972
  6. Step 6: Final answer
    x = 19,357,611.30

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.