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Finding the Third Proportional to 5,788,264 and 12,605,120

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Solution

The third proportional to 5,788,264 and 12,605,120 is: 27,450,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788,264 : 12,605,120 = 12,605,120 : x
  2. Step 2: Convert to fraction form
    5,788,264/12,605,120 = 12,605,120/x
  3. Step 3: Cross multiply
    5,788,264x = 12,605,120 × 12,605,120
  4. Step 4: Simplify right side
    5,788,264x = 158,889,050,214,400
  5. Step 5: Solve for x
    x = 158,889,050,214,400/5,788,264
  6. Step 6: Final answer
    x = 27,450,207.91

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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.