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Finding the Third Proportional to 10,811,088 and 14,561,802

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Solution

The third proportional to 10,811,088 and 14,561,802 is: 19,613,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811,088 : 14,561,802 = 14,561,802 : x
  2. Step 2: Convert to fraction form
    10,811,088/14,561,802 = 14,561,802/x
  3. Step 3: Cross multiply
    10,811,088x = 14,561,802 × 14,561,802
  4. Step 4: Simplify right side
    10,811,088x = 212,046,077,487,204
  5. Step 5: Solve for x
    x = 212,046,077,487,204/10,811,088
  6. Step 6: Final answer
    x = 19,613,759.27

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.