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Finding the Third Proportional to 34,099,410 and 52,000,209

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Solution

The third proportional to 34,099,410 and 52,000,209 is: 79,298,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099,410 : 52,000,209 = 52,000,209 : x
  2. Step 2: Convert to fraction form
    34,099,410/52,000,209 = 52,000,209/x
  3. Step 3: Cross multiply
    34,099,410x = 52,000,209 × 52,000,209
  4. Step 4: Simplify right side
    34,099,410x = 2,704,021,736,043,681
  5. Step 5: Solve for x
    x = 2,704,021,736,043,681/34,099,410
  6. Step 6: Final answer
    x = 79,298,197.13

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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.