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Finding the Third Proportional to 9,140,190,558 and 12,629,666,946

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Solution

The third proportional to 9,140,190,558 and 12,629,666,946 is: 17,451,330,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140,190,558 : 12,629,666,946 = 12,629,666,946 : x
  2. Step 2: Convert to fraction form
    9,140,190,558/12,629,666,946 = 12,629,666,946/x
  3. Step 3: Cross multiply
    9,140,190,558x = 12,629,666,946 × 12,629,666,946
  4. Step 4: Simplify right side
    9,140,190,558x = 159,508,487,166,884,970,496
  5. Step 5: Solve for x
    x = 159,508,487,166,884,970,496/9,140,190,558
  6. Step 6: Final answer
    x = 17,451,330,599.15

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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.