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Finding the Third Proportional to 6,121,703 and 13,362,457

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Solution

The third proportional to 6,121,703 and 13,362,457 is: 29,167,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,703 : 13,362,457 = 13,362,457 : x
  2. Step 2: Convert to fraction form
    6,121,703/13,362,457 = 13,362,457/x
  3. Step 3: Cross multiply
    6,121,703x = 13,362,457 × 13,362,457
  4. Step 4: Simplify right side
    6,121,703x = 178,555,257,076,849
  5. Step 5: Solve for x
    x = 178,555,257,076,849/6,121,703
  6. Step 6: Final answer
    x = 29,167,579.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.