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Finding the Third Proportional to 471,879,020 and 732,662,856

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Solution

The third proportional to 471,879,020 and 732,662,856 is: 1,137,568,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,879,020 : 732,662,856 = 732,662,856 : x
  2. Step 2: Convert to fraction form
    471,879,020/732,662,856 = 732,662,856/x
  3. Step 3: Cross multiply
    471,879,020x = 732,662,856 × 732,662,856
  4. Step 4: Simplify right side
    471,879,020x = 536,794,860,562,076,736
  5. Step 5: Solve for x
    x = 536,794,860,562,076,736/471,879,020
  6. Step 6: Final answer
    x = 1,137,568,821.27

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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.