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Finding the Third Proportional to 851,864,229 and 1,274,391,032.63

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Solution

The third proportional to 851,864,229 and 1,274,391,032.63 is: 1,906,492,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,864,229 : 1,274,391,032.63 = 1,274,391,032.63 : x
  2. Step 2: Convert to fraction form
    851,864,229/1,274,391,032.63 = 1,274,391,032.63/x
  3. Step 3: Cross multiply
    851,864,229x = 1,274,391,032.63 × 1,274,391,032.63
  4. Step 4: Simplify right side
    851,864,229x = 1,624,072,504,035,013,888
  5. Step 5: Solve for x
    x = 1,624,072,504,035,013,888/851,864,229
  6. Step 6: Final answer
    x = 1,906,492,195.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.