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Finding the Third Proportional to 10,811,194 and 14,561,955

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Solution

The third proportional to 10,811,194 and 14,561,955 is: 19,613,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811,194 : 14,561,955 = 14,561,955 : x
  2. Step 2: Convert to fraction form
    10,811,194/14,561,955 = 14,561,955/x
  3. Step 3: Cross multiply
    10,811,194x = 14,561,955 × 14,561,955
  4. Step 4: Simplify right side
    10,811,194x = 212,050,533,422,025
  5. Step 5: Solve for x
    x = 212,050,533,422,025/10,811,194
  6. Step 6: Final answer
    x = 19,613,979.12

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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.