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Finding the Third Proportional to 13,286,270 and 21,695,097

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Solution

The third proportional to 13,286,270 and 21,695,097 is: 35,425,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,286,270 : 21,695,097 = 21,695,097 : x
  2. Step 2: Convert to fraction form
    13,286,270/21,695,097 = 21,695,097/x
  3. Step 3: Cross multiply
    13,286,270x = 21,695,097 × 21,695,097
  4. Step 4: Simplify right side
    13,286,270x = 470,677,233,839,409
  5. Step 5: Solve for x
    x = 470,677,233,839,409/13,286,270
  6. Step 6: Final answer
    x = 35,425,836.89

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.