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Finding the Third Proportional to 13,924,864,396 and 30,054,921,728

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Solution

The third proportional to 13,924,864,396 and 30,054,921,728 is: 64,869,451,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924,864,396 : 30,054,921,728 = 30,054,921,728 : x
  2. Step 2: Convert to fraction form
    13,924,864,396/30,054,921,728 = 30,054,921,728/x
  3. Step 3: Cross multiply
    13,924,864,396x = 30,054,921,728 × 30,054,921,728
  4. Step 4: Simplify right side
    13,924,864,396x = 903,298,320,076,206,505,984
  5. Step 5: Solve for x
    x = 903,298,320,076,206,505,984/13,924,864,396
  6. Step 6: Final answer
    x = 64,869,451,822.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.