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Finding the Third Proportional to 2,927,726,694 and 4,460,204,250

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Solution

The third proportional to 2,927,726,694 and 4,460,204,250 is: 6,794,835,731.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927,726,694 : 4,460,204,250 = 4,460,204,250 : x
  2. Step 2: Convert to fraction form
    2,927,726,694/4,460,204,250 = 4,460,204,250/x
  3. Step 3: Cross multiply
    2,927,726,694x = 4,460,204,250 × 4,460,204,250
  4. Step 4: Simplify right side
    2,927,726,694x = 19,893,421,951,718,064,128
  5. Step 5: Solve for x
    x = 19,893,421,951,718,064,128/2,927,726,694
  6. Step 6: Final answer
    x = 6,794,835,731.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.