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Finding the Third Proportional to 21,621,728 and 47,006,944

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Solution

The third proportional to 21,621,728 and 47,006,944 is: 102,195,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621,728 : 47,006,944 = 47,006,944 : x
  2. Step 2: Convert to fraction form
    21,621,728/47,006,944 = 47,006,944/x
  3. Step 3: Cross multiply
    21,621,728x = 47,006,944 × 47,006,944
  4. Step 4: Simplify right side
    21,621,728x = 2,209,652,784,219,136
  5. Step 5: Solve for x
    x = 2,209,652,784,219,136/21,621,728
  6. Step 6: Final answer
    x = 102,195,938.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.