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Finding the Third Proportional to 1,203,012,390 and 1,914,229,167

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Solution

The third proportional to 1,203,012,390 and 1,914,229,167 is: 3,045,914,850.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,012,390 : 1,914,229,167 = 1,914,229,167 : x
  2. Step 2: Convert to fraction form
    1,203,012,390/1,914,229,167 = 1,914,229,167/x
  3. Step 3: Cross multiply
    1,203,012,390x = 1,914,229,167 × 1,914,229,167
  4. Step 4: Simplify right side
    1,203,012,390x = 3,664,273,303,793,513,984
  5. Step 5: Solve for x
    x = 3,664,273,303,793,513,984/1,203,012,390
  6. Step 6: Final answer
    x = 3,045,914,850.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.