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Finding the Third Proportional to 409,900,943,318 and 901,780,641,595

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Solution

The third proportional to 409,900,943,318 and 901,780,641,595 is: 1,983,914,257,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900,943,318 : 901,780,641,595 = 901,780,641,595 : x
  2. Step 2: Convert to fraction form
    409,900,943,318/901,780,641,595 = 901,780,641,595/x
  3. Step 3: Cross multiply
    409,900,943,318x = 901,780,641,595 × 901,780,641,595
  4. Step 4: Simplify right side
    409,900,943,318x = 813,208,325,555,489,807,007,744
  5. Step 5: Solve for x
    x = 813,208,325,555,489,807,007,744/409,900,943,318
  6. Step 6: Final answer
    x = 1,983,914,257,363.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.