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Finding the Third Proportional to 475,829,430 and 727,423,677

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Solution

The third proportional to 475,829,430 and 727,423,677 is: 1,112,048,083.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,829,430 : 727,423,677 = 727,423,677 : x
  2. Step 2: Convert to fraction form
    475,829,430/727,423,677 = 727,423,677/x
  3. Step 3: Cross multiply
    475,829,430x = 727,423,677 × 727,423,677
  4. Step 4: Simplify right side
    475,829,430x = 529,145,205,860,200,320
  5. Step 5: Solve for x
    x = 529,145,205,860,200,320/475,829,430
  6. Step 6: Final answer
    x = 1,112,048,083.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.