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Finding the Third Proportional to 1,688,391,526 and 3,667,430,147

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Solution

The third proportional to 1,688,391,526 and 3,667,430,147 is: 7,966,187,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,391,526 : 3,667,430,147 = 3,667,430,147 : x
  2. Step 2: Convert to fraction form
    1,688,391,526/3,667,430,147 = 3,667,430,147/x
  3. Step 3: Cross multiply
    1,688,391,526x = 3,667,430,147 × 3,667,430,147
  4. Step 4: Simplify right side
    1,688,391,526x = 13,450,043,883,124,441,088
  5. Step 5: Solve for x
    x = 13,450,043,883,124,441,088/1,688,391,526
  6. Step 6: Final answer
    x = 7,966,187,744.97

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Why These Related Problems?

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