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Finding the Third Proportional to 34,099,406 and 52,000,203

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Solution

The third proportional to 34,099,406 and 52,000,203 is: 79,298,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099,406 : 52,000,203 = 52,000,203 : x
  2. Step 2: Convert to fraction form
    34,099,406/52,000,203 = 52,000,203/x
  3. Step 3: Cross multiply
    34,099,406x = 52,000,203 × 52,000,203
  4. Step 4: Simplify right side
    34,099,406x = 2,704,021,112,041,209
  5. Step 5: Solve for x
    x = 2,704,021,112,041,209/34,099,406
  6. Step 6: Final answer
    x = 79,298,188.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.