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Finding the Third Proportional to 5,899,173 and 12,618,106

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Solution

The third proportional to 5,899,173 and 12,618,106 is: 26,989,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899,173 : 12,618,106 = 12,618,106 : x
  2. Step 2: Convert to fraction form
    5,899,173/12,618,106 = 12,618,106/x
  3. Step 3: Cross multiply
    5,899,173x = 12,618,106 × 12,618,106
  4. Step 4: Simplify right side
    5,899,173x = 159,216,599,027,236
  5. Step 5: Solve for x
    x = 159,216,599,027,236/5,899,173
  6. Step 6: Final answer
    x = 26,989,647.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.