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Finding the Third Proportional to 10,399,563 and 23,188,970.25

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Solution

The third proportional to 10,399,563 and 23,188,970.25 is: 51,706,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,563 : 23,188,970.25 = 23,188,970.25 : x
  2. Step 2: Convert to fraction form
    10,399,563/23,188,970.25 = 23,188,970.25/x
  3. Step 3: Cross multiply
    10,399,563x = 23,188,970.25 × 23,188,970.25
  4. Step 4: Simplify right side
    10,399,563x = 537,728,341,255,385.06
  5. Step 5: Solve for x
    x = 537,728,341,255,385.06/10,399,563
  6. Step 6: Final answer
    x = 51,706,820.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.