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Finding the Third Proportional to 6,811,944 and 11,352,784

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Solution

The third proportional to 6,811,944 and 11,352,784 is: 18,920,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811,944 : 11,352,784 = 11,352,784 : x
  2. Step 2: Convert to fraction form
    6,811,944/11,352,784 = 11,352,784/x
  3. Step 3: Cross multiply
    6,811,944x = 11,352,784 × 11,352,784
  4. Step 4: Simplify right side
    6,811,944x = 128,885,704,550,656
  5. Step 5: Solve for x
    x = 128,885,704,550,656/6,811,944
  6. Step 6: Final answer
    x = 18,920,546.70

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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.