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Finding the Third Proportional to 409,900,943,316 and 901,780,641,591

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Solution

The third proportional to 409,900,943,316 and 901,780,641,591 is: 1,983,914,257,355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900,943,316 : 901,780,641,591 = 901,780,641,591 : x
  2. Step 2: Convert to fraction form
    409,900,943,316/901,780,641,591 = 901,780,641,591/x
  3. Step 3: Cross multiply
    409,900,943,316x = 901,780,641,591 × 901,780,641,591
  4. Step 4: Simplify right side
    409,900,943,316x = 813,208,325,548,275,604,127,744
  5. Step 5: Solve for x
    x = 813,208,325,548,275,604,127,744/409,900,943,316
  6. Step 6: Final answer
    x = 1,983,914,257,355.97

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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.