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Finding the Third Proportional to 851,906,264.25 and 1,273,164,070.75

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Solution

The third proportional to 851,906,264.25 and 1,273,164,070.75 is: 1,902,728,996.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,906,264.25 : 1,273,164,070.75 = 1,273,164,070.75 : x
  2. Step 2: Convert to fraction form
    851,906,264.25/1,273,164,070.75 = 1,273,164,070.75/x
  3. Step 3: Cross multiply
    851,906,264.25x = 1,273,164,070.75 × 1,273,164,070.75
  4. Step 4: Simplify right side
    851,906,264.25x = 1,620,946,751,048,710,912
  5. Step 5: Solve for x
    x = 1,620,946,751,048,710,912/851,906,264.25
  6. Step 6: Final answer
    x = 1,902,728,996.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.