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Finding the Third Proportional to 5,123,817 and 11,039,346

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Solution

The third proportional to 5,123,817 and 11,039,346 is: 23,784,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123,817 : 11,039,346 = 11,039,346 : x
  2. Step 2: Convert to fraction form
    5,123,817/11,039,346 = 11,039,346/x
  3. Step 3: Cross multiply
    5,123,817x = 11,039,346 × 11,039,346
  4. Step 4: Simplify right side
    5,123,817x = 121,867,160,107,716
  5. Step 5: Solve for x
    x = 121,867,160,107,716/5,123,817
  6. Step 6: Final answer
    x = 23,784,448.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.