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Finding the Third Proportional to 10,239,793.88 and 21,999,173.06

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Solution

The third proportional to 10,239,793.88 and 21,999,173.06 is: 47,263,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,793.88 : 21,999,173.06 = 21,999,173.06 : x
  2. Step 2: Convert to fraction form
    10,239,793.88/21,999,173.06 = 21,999,173.06/x
  3. Step 3: Cross multiply
    10,239,793.88x = 21,999,173.06 × 21,999,173.06
  4. Step 4: Simplify right side
    10,239,793.88x = 483,963,615,433,825.62
  5. Step 5: Solve for x
    x = 483,963,615,433,825.62/10,239,793.88
  6. Step 6: Final answer
    x = 47,263,023.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.