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Finding the Third Proportional to 36,283,872 and 78,339,805

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Solution

The third proportional to 36,283,872 and 78,339,805 is: 169,141,955.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,283,872 : 78,339,805 = 78,339,805 : x
  2. Step 2: Convert to fraction form
    36,283,872/78,339,805 = 78,339,805/x
  3. Step 3: Cross multiply
    36,283,872x = 78,339,805 × 78,339,805
  4. Step 4: Simplify right side
    36,283,872x = 6,137,125,047,438,025
  5. Step 5: Solve for x
    x = 6,137,125,047,438,025/36,283,872
  6. Step 6: Final answer
    x = 169,141,955.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.