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Finding the Third Proportional to 471,878,960 and 732,662,763

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Solution

The third proportional to 471,878,960 and 732,662,763 is: 1,137,568,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,878,960 : 732,662,763 = 732,662,763 : x
  2. Step 2: Convert to fraction form
    471,878,960/732,662,763 = 732,662,763/x
  3. Step 3: Cross multiply
    471,878,960x = 732,662,763 × 732,662,763
  4. Step 4: Simplify right side
    471,878,960x = 536,794,724,286,794,176
  5. Step 5: Solve for x
    x = 536,794,724,286,794,176/471,878,960
  6. Step 6: Final answer
    x = 1,137,568,677.12

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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.