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Finding the Third Proportional to 5,209,464 and 8,050,380

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Solution

The third proportional to 5,209,464 and 8,050,380 is: 12,440,553.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209,464 : 8,050,380 = 8,050,380 : x
  2. Step 2: Convert to fraction form
    5,209,464/8,050,380 = 8,050,380/x
  3. Step 3: Cross multiply
    5,209,464x = 8,050,380 × 8,050,380
  4. Step 4: Simplify right side
    5,209,464x = 64,808,618,144,400
  5. Step 5: Solve for x
    x = 64,808,618,144,400/5,209,464
  6. Step 6: Final answer
    x = 12,440,553.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.