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Finding the Third Proportional to 7,538,759,856 and 16,572,994,443

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Solution

The third proportional to 7,538,759,856 and 16,572,994,443 is: 36,433,597,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538,759,856 : 16,572,994,443 = 16,572,994,443 : x
  2. Step 2: Convert to fraction form
    7,538,759,856/16,572,994,443 = 16,572,994,443/x
  3. Step 3: Cross multiply
    7,538,759,856x = 16,572,994,443 × 16,572,994,443
  4. Step 4: Simplify right side
    7,538,759,856x = 274,664,144,807,708,884,992
  5. Step 5: Solve for x
    x = 274,664,144,807,708,884,992/7,538,759,856
  6. Step 6: Final answer
    x = 36,433,597,840.25

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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.