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Finding the Third Proportional to 5,933,196 and 12,706,200

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Solution

The third proportional to 5,933,196 and 12,706,200 is: 27,210,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933,196 : 12,706,200 = 12,706,200 : x
  2. Step 2: Convert to fraction form
    5,933,196/12,706,200 = 12,706,200/x
  3. Step 3: Cross multiply
    5,933,196x = 12,706,200 × 12,706,200
  4. Step 4: Simplify right side
    5,933,196x = 161,447,518,440,000
  5. Step 5: Solve for x
    x = 161,447,518,440,000/5,933,196
  6. Step 6: Final answer
    x = 27,210,885.74

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