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Finding the Third Proportional to 1,169,891,564 and 2,541,171,152

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Solution

The third proportional to 1,169,891,564 and 2,541,171,152 is: 5,519,785,783.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,891,564 : 2,541,171,152 = 2,541,171,152 : x
  2. Step 2: Convert to fraction form
    1,169,891,564/2,541,171,152 = 2,541,171,152/x
  3. Step 3: Cross multiply
    1,169,891,564x = 2,541,171,152 × 2,541,171,152
  4. Step 4: Simplify right side
    1,169,891,564x = 6,457,550,823,757,006,848
  5. Step 5: Solve for x
    x = 6,457,550,823,757,006,848/1,169,891,564
  6. Step 6: Final answer
    x = 5,519,785,783.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.