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Finding the Third Proportional to 22,321,242 and 47,831,130

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Solution

The third proportional to 22,321,242 and 47,831,130 is: 102,495,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321,242 : 47,831,130 = 47,831,130 : x
  2. Step 2: Convert to fraction form
    22,321,242/47,831,130 = 47,831,130/x
  3. Step 3: Cross multiply
    22,321,242x = 47,831,130 × 47,831,130
  4. Step 4: Simplify right side
    22,321,242x = 2,287,816,997,076,900
  5. Step 5: Solve for x
    x = 2,287,816,997,076,900/22,321,242
  6. Step 6: Final answer
    x = 102,495,058.16

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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.