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Finding the Third Proportional to 1,688,391,518 and 3,667,430,131

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Solution

The third proportional to 1,688,391,518 and 3,667,430,131 is: 7,966,187,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,391,518 : 3,667,430,131 = 3,667,430,131 : x
  2. Step 2: Convert to fraction form
    1,688,391,518/3,667,430,131 = 3,667,430,131/x
  3. Step 3: Cross multiply
    1,688,391,518x = 3,667,430,131 × 3,667,430,131
  4. Step 4: Simplify right side
    1,688,391,518x = 13,450,043,765,766,676,480
  5. Step 5: Solve for x
    x = 13,450,043,765,766,676,480/1,688,391,518
  6. Step 6: Final answer
    x = 7,966,187,713.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.