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Finding the Third Proportional to 471,878,952 and 732,662,749

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Solution

The third proportional to 471,878,952 and 732,662,749 is: 1,137,568,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,878,952 : 732,662,749 = 732,662,749 : x
  2. Step 2: Convert to fraction form
    471,878,952/732,662,749 = 732,662,749/x
  3. Step 3: Cross multiply
    471,878,952x = 732,662,749 × 732,662,749
  4. Step 4: Simplify right side
    471,878,952x = 536,794,703,772,236,992
  5. Step 5: Solve for x
    x = 536,794,703,772,236,992/471,878,952
  6. Step 6: Final answer
    x = 1,137,568,652.93

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