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Finding the Third Proportional to 1,412,576,759.25 and 3,299,366,612.25

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Solution

The third proportional to 1,412,576,759.25 and 3,299,366,612.25 is: 7,706,356,465.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,576,759.25 : 3,299,366,612.25 = 3,299,366,612.25 : x
  2. Step 2: Convert to fraction form
    1,412,576,759.25/3,299,366,612.25 = 3,299,366,612.25/x
  3. Step 3: Cross multiply
    1,412,576,759.25x = 3,299,366,612.25 × 3,299,366,612.25
  4. Step 4: Simplify right side
    1,412,576,759.25x = 10,885,820,042,030,041,088
  5. Step 5: Solve for x
    x = 10,885,820,042,030,041,088/1,412,576,759.25
  6. Step 6: Final answer
    x = 7,706,356,465.76

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.