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Finding the Third Proportional to 22,321,280 and 47,831,206

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Solution

The third proportional to 22,321,280 and 47,831,206 is: 102,495,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,321,280 : 47,831,206 = 47,831,206 : x
  2. Step 2: Convert to fraction form
    22,321,280/47,831,206 = 47,831,206/x
  3. Step 3: Cross multiply
    22,321,280x = 47,831,206 × 47,831,206
  4. Step 4: Simplify right side
    22,321,280x = 2,287,824,267,414,436
  5. Step 5: Solve for x
    x = 2,287,824,267,414,436/22,321,280
  6. Step 6: Final answer
    x = 102,495,209.39

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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.