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Finding the Third Proportional to 7,597,761,816 and 16,503,435,558

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Solution

The third proportional to 7,597,761,816 and 16,503,435,558 is: 35,847,844,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597,761,816 : 16,503,435,558 = 16,503,435,558 : x
  2. Step 2: Convert to fraction form
    7,597,761,816/16,503,435,558 = 16,503,435,558/x
  3. Step 3: Cross multiply
    7,597,761,816x = 16,503,435,558 × 16,503,435,558
  4. Step 4: Simplify right side
    7,597,761,816x = 272,363,385,217,058,766,848
  5. Step 5: Solve for x
    x = 272,363,385,217,058,766,848/7,597,761,816
  6. Step 6: Final answer
    x = 35,847,844,643.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.