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Finding the Third Proportional to 12,317,264 and 17,742,468

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Solution

The third proportional to 12,317,264 and 17,742,468 is: 25,557,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,317,264 : 17,742,468 = 17,742,468 : x
  2. Step 2: Convert to fraction form
    12,317,264/17,742,468 = 17,742,468/x
  3. Step 3: Cross multiply
    12,317,264x = 17,742,468 × 17,742,468
  4. Step 4: Simplify right side
    12,317,264x = 314,795,170,731,024
  5. Step 5: Solve for x
    x = 314,795,170,731,024/12,317,264
  6. Step 6: Final answer
    x = 25,557,231.76

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.