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Finding the Third Proportional to 4,971,968 and 10,829,608

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Solution

The third proportional to 4,971,968 and 10,829,608 is: 23,588,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971,968 : 10,829,608 = 10,829,608 : x
  2. Step 2: Convert to fraction form
    4,971,968/10,829,608 = 10,829,608/x
  3. Step 3: Cross multiply
    4,971,968x = 10,829,608 × 10,829,608
  4. Step 4: Simplify right side
    4,971,968x = 117,280,409,433,664
  5. Step 5: Solve for x
    x = 117,280,409,433,664/4,971,968
  6. Step 6: Final answer
    x = 23,588,327.49

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Why These Related Problems?

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