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Finding the Third Proportional to 22,321,275 and 47,831,194.50

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Solution

The third proportional to 22,321,275 and 47,831,194.50 is: 102,495,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321,275 : 47,831,194.50 = 47,831,194.50 : x
  2. Step 2: Convert to fraction form
    22,321,275/47,831,194.50 = 47,831,194.50/x
  3. Step 3: Cross multiply
    22,321,275x = 47,831,194.50 × 47,831,194.50
  4. Step 4: Simplify right side
    22,321,275x = 2,287,823,167,296,830
  5. Step 5: Solve for x
    x = 2,287,823,167,296,830/22,321,275
  6. Step 6: Final answer
    x = 102,495,183.06

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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.