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Finding the Third Proportional to 5,712,821,912 and 8,823,924,327

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Solution

The third proportional to 5,712,821,912 and 8,823,924,327 is: 13,629,278,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712,821,912 : 8,823,924,327 = 8,823,924,327 : x
  2. Step 2: Convert to fraction form
    5,712,821,912/8,823,924,327 = 8,823,924,327/x
  3. Step 3: Cross multiply
    5,712,821,912x = 8,823,924,327 × 8,823,924,327
  4. Step 4: Simplify right side
    5,712,821,912x = 77,861,640,528,622,403,584
  5. Step 5: Solve for x
    x = 77,861,640,528,622,403,584/5,712,821,912
  6. Step 6: Final answer
    x = 13,629,278,442.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.