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Finding the Third Proportional to 411,070,910 and 559,903,749

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Solution

The third proportional to 411,070,910 and 559,903,749 is: 762,623,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,070,910 : 559,903,749 = 559,903,749 : x
  2. Step 2: Convert to fraction form
    411,070,910/559,903,749 = 559,903,749/x
  3. Step 3: Cross multiply
    411,070,910x = 559,903,749 × 559,903,749
  4. Step 4: Simplify right side
    411,070,910x = 313,492,208,144,254,976
  5. Step 5: Solve for x
    x = 313,492,208,144,254,976/411,070,910
  6. Step 6: Final answer
    x = 762,623,188.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.