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Finding the Third Proportional to 51,926,928.75 and 82,224,971.44

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Solution

The third proportional to 51,926,928.75 and 82,224,971.44 is: 130,201,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926,928.75 : 82,224,971.44 = 82,224,971.44 : x
  2. Step 2: Convert to fraction form
    51,926,928.75/82,224,971.44 = 82,224,971.44/x
  3. Step 3: Cross multiply
    51,926,928.75x = 82,224,971.44 × 82,224,971.44
  4. Step 4: Simplify right side
    51,926,928.75x = 6,760,945,927,897,691
  5. Step 5: Solve for x
    x = 6,760,945,927,897,691/51,926,928.75
  6. Step 6: Final answer
    x = 130,201,151.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.