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Finding the Third Proportional to 9,924,622,994 and 15,365,500,635

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Solution

The third proportional to 9,924,622,994 and 15,365,500,635 is: 23,789,176,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924,622,994 : 15,365,500,635 = 15,365,500,635 : x
  2. Step 2: Convert to fraction form
    9,924,622,994/15,365,500,635 = 15,365,500,635/x
  3. Step 3: Cross multiply
    9,924,622,994x = 15,365,500,635 × 15,365,500,635
  4. Step 4: Simplify right side
    9,924,622,994x = 236,098,609,764,185,407,488
  5. Step 5: Solve for x
    x = 236,098,609,764,185,407,488/9,924,622,994
  6. Step 6: Final answer
    x = 23,789,176,667.66

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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.