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Finding the Third Proportional to 7,567,198,014 and 17,680,389,690

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Solution

The third proportional to 7,567,198,014 and 17,680,389,690 is: 41,309,369,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567,198,014 : 17,680,389,690 = 17,680,389,690 : x
  2. Step 2: Convert to fraction form
    7,567,198,014/17,680,389,690 = 17,680,389,690/x
  3. Step 3: Cross multiply
    7,567,198,014x = 17,680,389,690 × 17,680,389,690
  4. Step 4: Simplify right side
    7,567,198,014x = 312,596,179,590,258,294,784
  5. Step 5: Solve for x
    x = 312,596,179,590,258,294,784/7,567,198,014
  6. Step 6: Final answer
    x = 41,309,369,599.15

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.