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Finding the Third Proportional to 272,534,841 and 408,702,206.25

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Solution

The third proportional to 272,534,841 and 408,702,206.25 is: 612,903,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,534,841 : 408,702,206.25 = 408,702,206.25 : x
  2. Step 2: Convert to fraction form
    272,534,841/408,702,206.25 = 408,702,206.25/x
  3. Step 3: Cross multiply
    272,534,841x = 408,702,206.25 × 408,702,206.25
  4. Step 4: Simplify right side
    272,534,841x = 167,037,493,393,617,536
  5. Step 5: Solve for x
    x = 167,037,493,393,617,536/272,534,841
  6. Step 6: Final answer
    x = 612,903,263.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.