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Finding the Third Proportional to 645,581,106 and 1,337,098,770

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Solution

The third proportional to 645,581,106 and 1,337,098,770 is: 2,769,339,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,581,106 : 1,337,098,770 = 1,337,098,770 : x
  2. Step 2: Convert to fraction form
    645,581,106/1,337,098,770 = 1,337,098,770/x
  3. Step 3: Cross multiply
    645,581,106x = 1,337,098,770 × 1,337,098,770
  4. Step 4: Simplify right side
    645,581,106x = 1,787,833,120,735,512,832
  5. Step 5: Solve for x
    x = 1,787,833,120,735,512,832/645,581,106
  6. Step 6: Final answer
    x = 2,769,339,288.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.