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Finding the Third Proportional to 659,043,875 and 1,420,151,110

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Solution

The third proportional to 659,043,875 and 1,420,151,110 is: 3,060,235,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,043,875 : 1,420,151,110 = 1,420,151,110 : x
  2. Step 2: Convert to fraction form
    659,043,875/1,420,151,110 = 1,420,151,110/x
  3. Step 3: Cross multiply
    659,043,875x = 1,420,151,110 × 1,420,151,110
  4. Step 4: Simplify right side
    659,043,875x = 2,016,829,175,234,232,064
  5. Step 5: Solve for x
    x = 2,016,829,175,234,232,064/659,043,875
  6. Step 6: Final answer
    x = 3,060,235,064.37

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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.