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Finding the Third Proportional to 35,903,884 and 77,894,936

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Solution

The third proportional to 35,903,884 and 77,894,936 is: 168,996,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,903,884 : 77,894,936 = 77,894,936 : x
  2. Step 2: Convert to fraction form
    35,903,884/77,894,936 = 77,894,936/x
  3. Step 3: Cross multiply
    35,903,884x = 77,894,936 × 77,894,936
  4. Step 4: Simplify right side
    35,903,884x = 6,067,621,054,444,096
  5. Step 5: Solve for x
    x = 6,067,621,054,444,096/35,903,884
  6. Step 6: Final answer
    x = 168,996,230.45

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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.