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Finding the Third Proportional to 6,181,926 and 13,277,964

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Solution

The third proportional to 6,181,926 and 13,277,964 is: 28,519,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181,926 : 13,277,964 = 13,277,964 : x
  2. Step 2: Convert to fraction form
    6,181,926/13,277,964 = 13,277,964/x
  3. Step 3: Cross multiply
    6,181,926x = 13,277,964 × 13,277,964
  4. Step 4: Simplify right side
    6,181,926x = 176,304,327,985,296
  5. Step 5: Solve for x
    x = 176,304,327,985,296/6,181,926
  6. Step 6: Final answer
    x = 28,519,320.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.