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Finding the Third Proportional to 6,121,704 and 13,362,459

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Solution

The third proportional to 6,121,704 and 13,362,459 is: 29,167,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,704 : 13,362,459 = 13,362,459 : x
  2. Step 2: Convert to fraction form
    6,121,704/13,362,459 = 13,362,459/x
  3. Step 3: Cross multiply
    6,121,704x = 13,362,459 × 13,362,459
  4. Step 4: Simplify right side
    6,121,704x = 178,555,310,526,681
  5. Step 5: Solve for x
    x = 178,555,310,526,681/6,121,704
  6. Step 6: Final answer
    x = 29,167,583.16

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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.