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Finding the Third Proportional to 9,924,622,992 and 15,365,500,632

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Solution

The third proportional to 9,924,622,992 and 15,365,500,632 is: 23,789,176,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,622,992 : 15,365,500,632 = 15,365,500,632 : x
  2. Step 2: Convert to fraction form
    9,924,622,992/15,365,500,632 = 15,365,500,632/x
  3. Step 3: Cross multiply
    9,924,622,992x = 15,365,500,632 × 15,365,500,632
  4. Step 4: Simplify right side
    9,924,622,992x = 236,098,609,671,992,410,112
  5. Step 5: Solve for x
    x = 236,098,609,671,992,410,112/9,924,622,992
  6. Step 6: Final answer
    x = 23,789,176,663.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.