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Finding the Third Proportional to 465,533,568 and 730,283,040

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Solution

The third proportional to 465,533,568 and 730,283,040 is: 1,145,595,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,533,568 : 730,283,040 = 730,283,040 : x
  2. Step 2: Convert to fraction form
    465,533,568/730,283,040 = 730,283,040/x
  3. Step 3: Cross multiply
    465,533,568x = 730,283,040 × 730,283,040
  4. Step 4: Simplify right side
    465,533,568x = 533,313,318,511,641,600
  5. Step 5: Solve for x
    x = 533,313,318,511,641,600/465,533,568
  6. Step 6: Final answer
    x = 1,145,595,839.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.