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Finding the Third Proportional to 5,911,344 and 12,706,740

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Solution

The third proportional to 5,911,344 and 12,706,740 is: 27,313,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911,344 : 12,706,740 = 12,706,740 : x
  2. Step 2: Convert to fraction form
    5,911,344/12,706,740 = 12,706,740/x
  3. Step 3: Cross multiply
    5,911,344x = 12,706,740 × 12,706,740
  4. Step 4: Simplify right side
    5,911,344x = 161,461,241,427,600
  5. Step 5: Solve for x
    x = 161,461,241,427,600/5,911,344
  6. Step 6: Final answer
    x = 27,313,795.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.