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Finding the Third Proportional to 51,926,892.75 and 82,224,905.63

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Solution

The third proportional to 51,926,892.75 and 82,224,905.63 is: 130,201,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,926,892.75 : 82,224,905.63 = 82,224,905.63 : x
  2. Step 2: Convert to fraction form
    51,926,892.75/82,224,905.63 = 82,224,905.63/x
  3. Step 3: Cross multiply
    51,926,892.75x = 82,224,905.63 × 82,224,905.63
  4. Step 4: Simplify right side
    51,926,892.75x = 6,760,935,105,040,157
  5. Step 5: Solve for x
    x = 6,760,935,105,040,157/51,926,892.75
  6. Step 6: Final answer
    x = 130,201,033.55

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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.