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Finding the Third Proportional to 5,106,366 and 11,019,686

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Solution

The third proportional to 5,106,366 and 11,019,686 is: 23,780,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106,366 : 11,019,686 = 11,019,686 : x
  2. Step 2: Convert to fraction form
    5,106,366/11,019,686 = 11,019,686/x
  3. Step 3: Cross multiply
    5,106,366x = 11,019,686 × 11,019,686
  4. Step 4: Simplify right side
    5,106,366x = 121,433,479,538,596
  5. Step 5: Solve for x
    x = 121,433,479,538,596/5,106,366
  6. Step 6: Final answer
    x = 23,780,802.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.