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Finding the Third Proportional to 13,197,246.47 and 27,601,122.09

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Solution

The third proportional to 13,197,246.47 and 27,601,122.09 is: 57,725,825.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197,246.47 : 27,601,122.09 = 27,601,122.09 : x
  2. Step 2: Convert to fraction form
    13,197,246.47/27,601,122.09 = 27,601,122.09/x
  3. Step 3: Cross multiply
    13,197,246.47x = 27,601,122.09 × 27,601,122.09
  4. Step 4: Simplify right side
    13,197,246.47x = 761,821,940,834,094.38
  5. Step 5: Solve for x
    x = 761,821,940,834,094.38/13,197,246.47
  6. Step 6: Final answer
    x = 57,725,825.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.