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Finding the Third Proportional to 45,988,814 and 72,142,978

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Solution

The third proportional to 45,988,814 and 72,142,978 is: 113,171,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,988,814 : 72,142,978 = 72,142,978 : x
  2. Step 2: Convert to fraction form
    45,988,814/72,142,978 = 72,142,978/x
  3. Step 3: Cross multiply
    45,988,814x = 72,142,978 × 72,142,978
  4. Step 4: Simplify right side
    45,988,814x = 5,204,609,274,708,484
  5. Step 5: Solve for x
    x = 5,204,609,274,708,484/45,988,814
  6. Step 6: Final answer
    x = 113,171,200.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.