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Finding the Third Proportional to 303,761,511 and 662,721,561

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Solution

The third proportional to 303,761,511 and 662,721,561 is: 1,445,870,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,761,511 : 662,721,561 = 662,721,561 : x
  2. Step 2: Convert to fraction form
    303,761,511/662,721,561 = 662,721,561/x
  3. Step 3: Cross multiply
    303,761,511x = 662,721,561 × 662,721,561
  4. Step 4: Simplify right side
    303,761,511x = 439,199,867,414,276,736
  5. Step 5: Solve for x
    x = 439,199,867,414,276,736/303,761,511
  6. Step 6: Final answer
    x = 1,445,870,696.29

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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.