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Finding the Third Proportional to 438,419,214 and 954,017,856

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Solution

The third proportional to 438,419,214 and 954,017,856 is: 2,075,981,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,419,214 : 954,017,856 = 954,017,856 : x
  2. Step 2: Convert to fraction form
    438,419,214/954,017,856 = 954,017,856/x
  3. Step 3: Cross multiply
    438,419,214x = 954,017,856 × 954,017,856
  4. Step 4: Simplify right side
    438,419,214x = 910,150,069,566,836,736
  5. Step 5: Solve for x
    x = 910,150,069,566,836,736/438,419,214
  6. Step 6: Final answer
    x = 2,075,981,253.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.