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Finding the Third Proportional to 52,422,402.75 and 82,056,051.75

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Solution

The third proportional to 52,422,402.75 and 82,056,051.75 is: 128,441,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,422,402.75 : 82,056,051.75 = 82,056,051.75 : x
  2. Step 2: Convert to fraction form
    52,422,402.75/82,056,051.75 = 82,056,051.75/x
  3. Step 3: Cross multiply
    52,422,402.75x = 82,056,051.75 × 82,056,051.75
  4. Step 4: Simplify right side
    52,422,402.75x = 6,733,195,628,798,678
  5. Step 5: Solve for x
    x = 6,733,195,628,798,678/52,422,402.75
  6. Step 6: Final answer
    x = 128,441,186.89

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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.