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Finding the Third Proportional to 662,535,463 and 1,435,487,512

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Solution

The third proportional to 662,535,463 and 1,435,487,512 is: 3,110,209,961.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,535,463 : 1,435,487,512 = 1,435,487,512 : x
  2. Step 2: Convert to fraction form
    662,535,463/1,435,487,512 = 1,435,487,512/x
  3. Step 3: Cross multiply
    662,535,463x = 1,435,487,512 × 1,435,487,512
  4. Step 4: Simplify right side
    662,535,463x = 2,060,624,397,107,950,080
  5. Step 5: Solve for x
    x = 2,060,624,397,107,950,080/662,535,463
  6. Step 6: Final answer
    x = 3,110,209,961.86

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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.