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Finding the Third Proportional to 671,631,588 and 1,453,276,383.75

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Solution

The third proportional to 671,631,588 and 1,453,276,383.75 is: 3,144,599,338.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,631,588 : 1,453,276,383.75 = 1,453,276,383.75 : x
  2. Step 2: Convert to fraction form
    671,631,588/1,453,276,383.75 = 1,453,276,383.75/x
  3. Step 3: Cross multiply
    671,631,588x = 1,453,276,383.75 × 1,453,276,383.75
  4. Step 4: Simplify right side
    671,631,588x = 2,112,012,247,565,477,376
  5. Step 5: Solve for x
    x = 2,112,012,247,565,477,376/671,631,588
  6. Step 6: Final answer
    x = 3,144,599,338.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.