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Finding the Third Proportional to 471,878,992 and 732,662,810

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Solution

The third proportional to 471,878,992 and 732,662,810 is: 1,137,568,745.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,878,992 : 732,662,810 = 732,662,810 : x
  2. Step 2: Convert to fraction form
    471,878,992/732,662,810 = 732,662,810/x
  3. Step 3: Cross multiply
    471,878,992x = 732,662,810 × 732,662,810
  4. Step 4: Simplify right side
    471,878,992x = 536,794,793,157,096,128
  5. Step 5: Solve for x
    x = 536,794,793,157,096,128/471,878,992
  6. Step 6: Final answer
    x = 1,137,568,745.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.