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Finding the Third Proportional to 41,383,948 and 97,553,482

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Solution

The third proportional to 41,383,948 and 97,553,482 is: 229,960,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,383,948 : 97,553,482 = 97,553,482 : x
  2. Step 2: Convert to fraction form
    41,383,948/97,553,482 = 97,553,482/x
  3. Step 3: Cross multiply
    41,383,948x = 97,553,482 × 97,553,482
  4. Step 4: Simplify right side
    41,383,948x = 9,516,681,850,324,324
  5. Step 5: Solve for x
    x = 9,516,681,850,324,324/41,383,948
  6. Step 6: Final answer
    x = 229,960,704.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.