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Finding the Third Proportional to 1,456,246,842 and 3,209,323,167

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Solution

The third proportional to 1,456,246,842 and 3,209,323,167 is: 7,072,808,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,246,842 : 3,209,323,167 = 3,209,323,167 : x
  2. Step 2: Convert to fraction form
    1,456,246,842/3,209,323,167 = 3,209,323,167/x
  3. Step 3: Cross multiply
    1,456,246,842x = 3,209,323,167 × 3,209,323,167
  4. Step 4: Simplify right side
    1,456,246,842x = 10,299,755,190,242,910,208
  5. Step 5: Solve for x
    x = 10,299,755,190,242,910,208/1,456,246,842
  6. Step 6: Final answer
    x = 7,072,808,601.66

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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.