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Finding the Third Proportional to 4,676,469,973 and 10,176,187,253

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Solution

The third proportional to 4,676,469,973 and 10,176,187,253 is: 22,143,793,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,469,973 : 10,176,187,253 = 10,176,187,253 : x
  2. Step 2: Convert to fraction form
    4,676,469,973/10,176,187,253 = 10,176,187,253/x
  3. Step 3: Cross multiply
    4,676,469,973x = 10,176,187,253 × 10,176,187,253
  4. Step 4: Simplify right side
    4,676,469,973x = 103,554,787,008,119,685,120
  5. Step 5: Solve for x
    x = 103,554,787,008,119,685,120/4,676,469,973
  6. Step 6: Final answer
    x = 22,143,793,845.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.