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Finding the Third Proportional to 7,551,942 and 11,186,347

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Solution

The third proportional to 7,551,942 and 11,186,347 is: 16,569,825.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,551,942 : 11,186,347 = 11,186,347 : x
  2. Step 2: Convert to fraction form
    7,551,942/11,186,347 = 11,186,347/x
  3. Step 3: Cross multiply
    7,551,942x = 11,186,347 × 11,186,347
  4. Step 4: Simplify right side
    7,551,942x = 125,134,359,204,409
  5. Step 5: Solve for x
    x = 125,134,359,204,409/7,551,942
  6. Step 6: Final answer
    x = 16,569,825.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.