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Finding the Third Proportional to 4,197,741 and 8,899,938

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Solution

The third proportional to 4,197,741 and 8,899,938 is: 18,869,410.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,741 : 8,899,938 = 8,899,938 : x
  2. Step 2: Convert to fraction form
    4,197,741/8,899,938 = 8,899,938/x
  3. Step 3: Cross multiply
    4,197,741x = 8,899,938 × 8,899,938
  4. Step 4: Simplify right side
    4,197,741x = 79,208,896,403,844
  5. Step 5: Solve for x
    x = 79,208,896,403,844/4,197,741
  6. Step 6: Final answer
    x = 18,869,410.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.