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Finding the Third Proportional to 1,183,535,869 and 2,573,072,482

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Solution

The third proportional to 1,183,535,869 and 2,573,072,482 is: 5,594,001,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,535,869 : 2,573,072,482 = 2,573,072,482 : x
  2. Step 2: Convert to fraction form
    1,183,535,869/2,573,072,482 = 2,573,072,482/x
  3. Step 3: Cross multiply
    1,183,535,869x = 2,573,072,482 × 2,573,072,482
  4. Step 4: Simplify right side
    1,183,535,869x = 6,620,701,997,625,639,936
  5. Step 5: Solve for x
    x = 6,620,701,997,625,639,936/1,183,535,869
  6. Step 6: Final answer
    x = 5,594,001,982.57

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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.