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Finding the Third Proportional to 3,582,913,473,400 and 7,896,138,837,716

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Solution

The third proportional to 3,582,913,473,400 and 7,896,138,837,716 is: 17,401,762,282,950.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582,913,473,400 : 7,896,138,837,716 = 7,896,138,837,716 : x
  2. Step 2: Convert to fraction form
    3,582,913,473,400/7,896,138,837,716 = 7,896,138,837,716/x
  3. Step 3: Cross multiply
    3,582,913,473,400x = 7,896,138,837,716 × 7,896,138,837,716
  4. Step 4: Simplify right side
    3,582,913,473,400x = 62,349,008,544,486,985,419,456,512
  5. Step 5: Solve for x
    x = 62,349,008,544,486,985,419,456,512/3,582,913,473,400
  6. Step 6: Final answer
    x = 17,401,762,282,950.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.