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Finding the Third Proportional to 10,385,343 and 22,599,380.25

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Solution

The third proportional to 10,385,343 and 22,599,380.25 is: 49,178,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385,343 : 22,599,380.25 = 22,599,380.25 : x
  2. Step 2: Convert to fraction form
    10,385,343/22,599,380.25 = 22,599,380.25/x
  3. Step 3: Cross multiply
    10,385,343x = 22,599,380.25 × 22,599,380.25
  4. Step 4: Simplify right side
    10,385,343x = 510,731,987,684,090.06
  5. Step 5: Solve for x
    x = 510,731,987,684,090.06/10,385,343
  6. Step 6: Final answer
    x = 49,178,153.06

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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.