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Finding the Third Proportional to 10,897,274.25 and 23,122,877.63

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Solution

The third proportional to 10,897,274.25 and 23,122,877.63 is: 49,064,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897,274.25 : 23,122,877.63 = 23,122,877.63 : x
  2. Step 2: Convert to fraction form
    10,897,274.25/23,122,877.63 = 23,122,877.63/x
  3. Step 3: Cross multiply
    10,897,274.25x = 23,122,877.63 × 23,122,877.63
  4. Step 4: Simplify right side
    10,897,274.25x = 534,667,469,660,725.62
  5. Step 5: Solve for x
    x = 534,667,469,660,725.62/10,897,274.25
  6. Step 6: Final answer
    x = 49,064,330.90

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.