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Finding the Third Proportional to 382,861,368 and 835,016,616

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Solution

The third proportional to 382,861,368 and 835,016,616 is: 1,821,162,455.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,861,368 : 835,016,616 = 835,016,616 : x
  2. Step 2: Convert to fraction form
    382,861,368/835,016,616 = 835,016,616/x
  3. Step 3: Cross multiply
    382,861,368x = 835,016,616 × 835,016,616
  4. Step 4: Simplify right side
    382,861,368x = 697,252,748,996,091,392
  5. Step 5: Solve for x
    x = 697,252,748,996,091,392/382,861,368
  6. Step 6: Final answer
    x = 1,821,162,455.33

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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.