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Finding the Third Proportional to 5,441,499 and 11,862,774

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Solution

The third proportional to 5,441,499 and 11,862,774 is: 25,861,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,499 : 11,862,774 = 11,862,774 : x
  2. Step 2: Convert to fraction form
    5,441,499/11,862,774 = 11,862,774/x
  3. Step 3: Cross multiply
    5,441,499x = 11,862,774 × 11,862,774
  4. Step 4: Simplify right side
    5,441,499x = 140,725,406,975,076
  5. Step 5: Solve for x
    x = 140,725,406,975,076/5,441,499
  6. Step 6: Final answer
    x = 25,861,514.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.