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Finding the Third Proportional to 4,795,298 and 10,274,581

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Solution

The third proportional to 4,795,298 and 10,274,581 is: 22,014,693.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,795,298 : 10,274,581 = 10,274,581 : x
  2. Step 2: Convert to fraction form
    4,795,298/10,274,581 = 10,274,581/x
  3. Step 3: Cross multiply
    4,795,298x = 10,274,581 × 10,274,581
  4. Step 4: Simplify right side
    4,795,298x = 105,567,014,725,561
  5. Step 5: Solve for x
    x = 105,567,014,725,561/4,795,298
  6. Step 6: Final answer
    x = 22,014,693.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.