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Finding the Third Proportional to 5,896,173 and 12,830,766

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Solution

The third proportional to 5,896,173 and 12,830,766 is: 27,921,256.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896,173 : 12,830,766 = 12,830,766 : x
  2. Step 2: Convert to fraction form
    5,896,173/12,830,766 = 12,830,766/x
  3. Step 3: Cross multiply
    5,896,173x = 12,830,766 × 12,830,766
  4. Step 4: Simplify right side
    5,896,173x = 164,628,556,146,756
  5. Step 5: Solve for x
    x = 164,628,556,146,756/5,896,173
  6. Step 6: Final answer
    x = 27,921,256.07

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