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Finding the Third Proportional to 13,534,602,966 and 20,690,920,881

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Solution

The third proportional to 13,534,602,966 and 20,690,920,881 is: 31,631,087,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534,602,966 : 20,690,920,881 = 20,690,920,881 : x
  2. Step 2: Convert to fraction form
    13,534,602,966/20,690,920,881 = 20,690,920,881/x
  3. Step 3: Cross multiply
    13,534,602,966x = 20,690,920,881 × 20,690,920,881
  4. Step 4: Simplify right side
    13,534,602,966x = 428,114,206,903,801,806,848
  5. Step 5: Solve for x
    x = 428,114,206,903,801,806,848/13,534,602,966
  6. Step 6: Final answer
    x = 31,631,087,219.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.