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Finding the Third Proportional to 4,941,028 and 10,706,815

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Solution

The third proportional to 4,941,028 and 10,706,815 is: 23,200,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941,028 : 10,706,815 = 10,706,815 : x
  2. Step 2: Convert to fraction form
    4,941,028/10,706,815 = 10,706,815/x
  3. Step 3: Cross multiply
    4,941,028x = 10,706,815 × 10,706,815
  4. Step 4: Simplify right side
    4,941,028x = 114,635,887,444,225
  5. Step 5: Solve for x
    x = 114,635,887,444,225/4,941,028
  6. Step 6: Final answer
    x = 23,200,817.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.