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Finding the Third Proportional to 13,812,052 and 21,667,032

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Solution

The third proportional to 13,812,052 and 21,667,032 is: 33,989,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812,052 : 21,667,032 = 21,667,032 : x
  2. Step 2: Convert to fraction form
    13,812,052/21,667,032 = 21,667,032/x
  3. Step 3: Cross multiply
    13,812,052x = 21,667,032 × 21,667,032
  4. Step 4: Simplify right side
    13,812,052x = 469,460,275,689,024
  5. Step 5: Solve for x
    x = 469,460,275,689,024/13,812,052
  6. Step 6: Final answer
    x = 33,989,176.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.