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Finding the Third Proportional to 659,043,877 and 1,420,151,114

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Solution

The third proportional to 659,043,877 and 1,420,151,114 is: 3,060,235,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,043,877 : 1,420,151,114 = 1,420,151,114 : x
  2. Step 2: Convert to fraction form
    659,043,877/1,420,151,114 = 1,420,151,114/x
  3. Step 3: Cross multiply
    659,043,877x = 1,420,151,114 × 1,420,151,114
  4. Step 4: Simplify right side
    659,043,877x = 2,016,829,186,595,440,896
  5. Step 5: Solve for x
    x = 2,016,829,186,595,440,896/659,043,877
  6. Step 6: Final answer
    x = 3,060,235,072.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.