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Finding the Third Proportional to 6,811,946 and 11,352,787

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Solution

The third proportional to 6,811,946 and 11,352,787 is: 18,920,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,946 : 11,352,787 = 11,352,787 : x
  2. Step 2: Convert to fraction form
    6,811,946/11,352,787 = 11,352,787/x
  3. Step 3: Cross multiply
    6,811,946x = 11,352,787 × 11,352,787
  4. Step 4: Simplify right side
    6,811,946x = 128,885,772,667,369
  5. Step 5: Solve for x
    x = 128,885,772,667,369/6,811,946
  6. Step 6: Final answer
    x = 18,920,551.14

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.