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Finding the Third Proportional to 9,140,190,564 and 12,629,666,954

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Solution

The third proportional to 9,140,190,564 and 12,629,666,954 is: 17,451,330,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140,190,564 : 12,629,666,954 = 12,629,666,954 : x
  2. Step 2: Convert to fraction form
    9,140,190,564/12,629,666,954 = 12,629,666,954/x
  3. Step 3: Cross multiply
    9,140,190,564x = 12,629,666,954 × 12,629,666,954
  4. Step 4: Simplify right side
    9,140,190,564x = 159,508,487,368,959,623,168
  5. Step 5: Solve for x
    x = 159,508,487,368,959,623,168/9,140,190,564
  6. Step 6: Final answer
    x = 17,451,330,609.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.