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Finding the Third Proportional to 5,712,821,910 and 8,823,924,324

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Solution

The third proportional to 5,712,821,910 and 8,823,924,324 is: 13,629,278,437.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712,821,910 : 8,823,924,324 = 8,823,924,324 : x
  2. Step 2: Convert to fraction form
    5,712,821,910/8,823,924,324 = 8,823,924,324/x
  3. Step 3: Cross multiply
    5,712,821,910x = 8,823,924,324 × 8,823,924,324
  4. Step 4: Simplify right side
    5,712,821,910x = 77,861,640,475,678,851,072
  5. Step 5: Solve for x
    x = 77,861,640,475,678,851,072/5,712,821,910
  6. Step 6: Final answer
    x = 13,629,278,437.58

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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.