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Finding the Third Proportional to 1,966,371,087 and 4,213,218,157

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Solution

The third proportional to 1,966,371,087 and 4,213,218,157 is: 9,027,394,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966,371,087 : 4,213,218,157 = 4,213,218,157 : x
  2. Step 2: Convert to fraction form
    1,966,371,087/4,213,218,157 = 4,213,218,157/x
  3. Step 3: Cross multiply
    1,966,371,087x = 4,213,218,157 × 4,213,218,157
  4. Step 4: Simplify right side
    1,966,371,087x = 17,751,207,238,474,477,568
  5. Step 5: Solve for x
    x = 17,751,207,238,474,477,568/1,966,371,087
  6. Step 6: Final answer
    x = 9,027,394,348.82

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.