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Finding the Third Proportional to 11,761,938 and 25,478,658

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Solution

The third proportional to 11,761,938 and 25,478,658 is: 55,191,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,938 : 25,478,658 = 25,478,658 : x
  2. Step 2: Convert to fraction form
    11,761,938/25,478,658 = 25,478,658/x
  3. Step 3: Cross multiply
    11,761,938x = 25,478,658 × 25,478,658
  4. Step 4: Simplify right side
    11,761,938x = 649,162,013,480,964
  5. Step 5: Solve for x
    x = 649,162,013,480,964/11,761,938
  6. Step 6: Final answer
    x = 55,191,756.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.