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Finding the Third Proportional to 224,156,838 and 486,575,376

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Solution

The third proportional to 224,156,838 and 486,575,376 is: 1,056,205,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,156,838 : 486,575,376 = 486,575,376 : x
  2. Step 2: Convert to fraction form
    224,156,838/486,575,376 = 486,575,376/x
  3. Step 3: Cross multiply
    224,156,838x = 486,575,376 × 486,575,376
  4. Step 4: Simplify right side
    224,156,838x = 236,755,596,529,541,376
  5. Step 5: Solve for x
    x = 236,755,596,529,541,376/224,156,838
  6. Step 6: Final answer
    x = 1,056,205,104.61

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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.