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Finding the Third Proportional to 465,711,104 and 945,107,392

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Solution

The third proportional to 465,711,104 and 945,107,392 is: 1,917,987,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,711,104 : 945,107,392 = 945,107,392 : x
  2. Step 2: Convert to fraction form
    465,711,104/945,107,392 = 945,107,392/x
  3. Step 3: Cross multiply
    465,711,104x = 945,107,392 × 945,107,392
  4. Step 4: Simplify right side
    465,711,104x = 893,227,982,413,041,664
  5. Step 5: Solve for x
    x = 893,227,982,413,041,664/465,711,104
  6. Step 6: Final answer
    x = 1,917,987,298.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.