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Finding the Third Proportional to 1,650,463,904 and 2,469,152,072

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Solution

The third proportional to 1,650,463,904 and 2,469,152,072 is: 3,693,938,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,463,904 : 2,469,152,072 = 2,469,152,072 : x
  2. Step 2: Convert to fraction form
    1,650,463,904/2,469,152,072 = 2,469,152,072/x
  3. Step 3: Cross multiply
    1,650,463,904x = 2,469,152,072 × 2,469,152,072
  4. Step 4: Simplify right side
    1,650,463,904x = 6,096,711,954,661,893,120
  5. Step 5: Solve for x
    x = 6,096,711,954,661,893,120/1,650,463,904
  6. Step 6: Final answer
    x = 3,693,938,376.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.