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Finding the Third Proportional to 6,473,466 and 14,166,063

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Solution

The third proportional to 6,473,466 and 14,166,063 is: 30,999,983.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473,466 : 14,166,063 = 14,166,063 : x
  2. Step 2: Convert to fraction form
    6,473,466/14,166,063 = 14,166,063/x
  3. Step 3: Cross multiply
    6,473,466x = 14,166,063 × 14,166,063
  4. Step 4: Simplify right side
    6,473,466x = 200,677,340,919,969
  5. Step 5: Solve for x
    x = 200,677,340,919,969/6,473,466
  6. Step 6: Final answer
    x = 30,999,983.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.