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Finding the Third Proportional to 447,451,889 and 972,361,303

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Solution

The third proportional to 447,451,889 and 972,361,303 is: 2,113,046,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,451,889 : 972,361,303 = 972,361,303 : x
  2. Step 2: Convert to fraction form
    447,451,889/972,361,303 = 972,361,303/x
  3. Step 3: Cross multiply
    447,451,889x = 972,361,303 × 972,361,303
  4. Step 4: Simplify right side
    447,451,889x = 945,486,503,571,857,792
  5. Step 5: Solve for x
    x = 945,486,503,571,857,792/447,451,889
  6. Step 6: Final answer
    x = 2,113,046,177.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.