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Finding the Third Proportional to 616,753,192 and 1,346,525,016

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Solution

The third proportional to 616,753,192 and 1,346,525,016 is: 2,939,797,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,753,192 : 1,346,525,016 = 1,346,525,016 : x
  2. Step 2: Convert to fraction form
    616,753,192/1,346,525,016 = 1,346,525,016/x
  3. Step 3: Cross multiply
    616,753,192x = 1,346,525,016 × 1,346,525,016
  4. Step 4: Simplify right side
    616,753,192x = 1,813,129,618,713,800,192
  5. Step 5: Solve for x
    x = 1,813,129,618,713,800,192/616,753,192
  6. Step 6: Final answer
    x = 2,939,797,705.52

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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.