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Finding the Third Proportional to 783,906,912 and 1,711,257,696

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Solution

The third proportional to 783,906,912 and 1,711,257,696 is: 3,735,651,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,906,912 : 1,711,257,696 = 1,711,257,696 : x
  2. Step 2: Convert to fraction form
    783,906,912/1,711,257,696 = 1,711,257,696/x
  3. Step 3: Cross multiply
    783,906,912x = 1,711,257,696 × 1,711,257,696
  4. Step 4: Simplify right side
    783,906,912x = 2,928,402,902,119,228,416
  5. Step 5: Solve for x
    x = 2,928,402,902,119,228,416/783,906,912
  6. Step 6: Final answer
    x = 3,735,651,334.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.