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Finding the Third Proportional to 12,464,564 and 19,147,097

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Solution

The third proportional to 12,464,564 and 19,147,097 is: 29,412,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464,564 : 19,147,097 = 19,147,097 : x
  2. Step 2: Convert to fraction form
    12,464,564/19,147,097 = 19,147,097/x
  3. Step 3: Cross multiply
    12,464,564x = 19,147,097 × 19,147,097
  4. Step 4: Simplify right side
    12,464,564x = 366,611,323,527,409
  5. Step 5: Solve for x
    x = 366,611,323,527,409/12,464,564
  6. Step 6: Final answer
    x = 29,412,286.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.