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Finding the Third Proportional to 452,327,808.94 and 984,751,570.13

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Solution

The third proportional to 452,327,808.94 and 984,751,570.13 is: 2,143,878,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,327,808.94 : 984,751,570.13 = 984,751,570.13 : x
  2. Step 2: Convert to fraction form
    452,327,808.94/984,751,570.13 = 984,751,570.13/x
  3. Step 3: Cross multiply
    452,327,808.94x = 984,751,570.13 × 984,751,570.13
  4. Step 4: Simplify right side
    452,327,808.94x = 969,735,654,863,652,736
  5. Step 5: Solve for x
    x = 969,735,654,863,652,736/452,327,808.94
  6. Step 6: Final answer
    x = 2,143,878,036.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.