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Finding the Third Proportional to 447,399,213 and 972,241,452

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Solution

The third proportional to 447,399,213 and 972,241,452 is: 2,112,774,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,399,213 : 972,241,452 = 972,241,452 : x
  2. Step 2: Convert to fraction form
    447,399,213/972,241,452 = 972,241,452/x
  3. Step 3: Cross multiply
    447,399,213x = 972,241,452 × 972,241,452
  4. Step 4: Simplify right side
    447,399,213x = 945,253,440,987,068,288
  5. Step 5: Solve for x
    x = 945,253,440,987,068,288/447,399,213
  6. Step 6: Final answer
    x = 2,112,774,036.08

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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.