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Finding the Third Proportional to 4,971,996 and 7,760,196

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Solution

The third proportional to 4,971,996 and 7,760,196 is: 12,111,965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971,996 : 7,760,196 = 7,760,196 : x
  2. Step 2: Convert to fraction form
    4,971,996/7,760,196 = 7,760,196/x
  3. Step 3: Cross multiply
    4,971,996x = 7,760,196 × 7,760,196
  4. Step 4: Simplify right side
    4,971,996x = 60,220,641,958,416
  5. Step 5: Solve for x
    x = 60,220,641,958,416/4,971,996
  6. Step 6: Final answer
    x = 12,111,965.09

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.