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Finding the Third Proportional to 2,422,050,334 and 5,302,635,548

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Solution

The third proportional to 2,422,050,334 and 5,302,635,548 is: 11,609,149,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,050,334 : 5,302,635,548 = 5,302,635,548 : x
  2. Step 2: Convert to fraction form
    2,422,050,334/5,302,635,548 = 5,302,635,548/x
  3. Step 3: Cross multiply
    2,422,050,334x = 5,302,635,548 × 5,302,635,548
  4. Step 4: Simplify right side
    2,422,050,334x = 28,117,943,754,913,259,520
  5. Step 5: Solve for x
    x = 28,117,943,754,913,259,520/2,422,050,334
  6. Step 6: Final answer
    x = 11,609,149,223.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.