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Finding the Third Proportional to 410,713,750.69 and 968,568,487.03

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Solution

The third proportional to 410,713,750.69 and 968,568,487.03 is: 2,284,133,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,713,750.69 : 968,568,487.03 = 968,568,487.03 : x
  2. Step 2: Convert to fraction form
    410,713,750.69/968,568,487.03 = 968,568,487.03/x
  3. Step 3: Cross multiply
    410,713,750.69x = 968,568,487.03 × 968,568,487.03
  4. Step 4: Simplify right side
    410,713,750.69x = 938,124,914,070,004,736
  5. Step 5: Solve for x
    x = 938,124,914,070,004,736/410,713,750.69
  6. Step 6: Final answer
    x = 2,284,133,201.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.