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Finding the Third Proportional to 12,223,884 and 25,905,069

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Solution

The third proportional to 12,223,884 and 25,905,069 is: 54,898,475.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223,884 : 25,905,069 = 25,905,069 : x
  2. Step 2: Convert to fraction form
    12,223,884/25,905,069 = 25,905,069/x
  3. Step 3: Cross multiply
    12,223,884x = 25,905,069 × 25,905,069
  4. Step 4: Simplify right side
    12,223,884x = 671,072,599,894,761
  5. Step 5: Solve for x
    x = 671,072,599,894,761/12,223,884
  6. Step 6: Final answer
    x = 54,898,475.79

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Why These Related Problems?

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