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Finding the Third Proportional to 1,435,980,978 and 3,144,366,942

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Solution

The third proportional to 1,435,980,978 and 3,144,366,942 is: 6,885,218,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,980,978 : 3,144,366,942 = 3,144,366,942 : x
  2. Step 2: Convert to fraction form
    1,435,980,978/3,144,366,942 = 3,144,366,942/x
  3. Step 3: Cross multiply
    1,435,980,978x = 3,144,366,942 × 3,144,366,942
  4. Step 4: Simplify right side
    1,435,980,978x = 9,887,043,465,942,431,744
  5. Step 5: Solve for x
    x = 9,887,043,465,942,431,744/1,435,980,978
  6. Step 6: Final answer
    x = 6,885,218,966.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.