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Finding the Third Proportional to 13,672,706 and 21,164,097

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Solution

The third proportional to 13,672,706 and 21,164,097 is: 32,760,084.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672,706 : 21,164,097 = 21,164,097 : x
  2. Step 2: Convert to fraction form
    13,672,706/21,164,097 = 21,164,097/x
  3. Step 3: Cross multiply
    13,672,706x = 21,164,097 × 21,164,097
  4. Step 4: Simplify right side
    13,672,706x = 447,919,001,825,409
  5. Step 5: Solve for x
    x = 447,919,001,825,409/13,672,706
  6. Step 6: Final answer
    x = 32,760,084.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.