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Finding the Third Proportional to 6,028,512,540 and 8,142,494,538

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Solution

The third proportional to 6,028,512,540 and 8,142,494,538 is: 10,997,773,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,028,512,540 : 8,142,494,538 = 8,142,494,538 : x
  2. Step 2: Convert to fraction form
    6,028,512,540/8,142,494,538 = 8,142,494,538/x
  3. Step 3: Cross multiply
    6,028,512,540x = 8,142,494,538 × 8,142,494,538
  4. Step 4: Simplify right side
    6,028,512,540x = 66,300,217,301,359,837,184
  5. Step 5: Solve for x
    x = 66,300,217,301,359,837,184/6,028,512,540
  6. Step 6: Final answer
    x = 10,997,773,805.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.