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Finding the Third Proportional to 1,688,391,524 and 3,667,430,143

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Solution

The third proportional to 1,688,391,524 and 3,667,430,143 is: 7,966,187,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,391,524 : 3,667,430,143 = 3,667,430,143 : x
  2. Step 2: Convert to fraction form
    1,688,391,524/3,667,430,143 = 3,667,430,143/x
  3. Step 3: Cross multiply
    1,688,391,524x = 3,667,430,143 × 3,667,430,143
  4. Step 4: Simplify right side
    1,688,391,524x = 13,450,043,853,784,999,936
  5. Step 5: Solve for x
    x = 13,450,043,853,784,999,936/1,688,391,524
  6. Step 6: Final answer
    x = 7,966,187,737.02

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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.