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Finding the Third Proportional to 5,316,669 and 11,662,686

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Solution

The third proportional to 5,316,669 and 11,662,686 is: 25,583,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316,669 : 11,662,686 = 11,662,686 : x
  2. Step 2: Convert to fraction form
    5,316,669/11,662,686 = 11,662,686/x
  3. Step 3: Cross multiply
    5,316,669x = 11,662,686 × 11,662,686
  4. Step 4: Simplify right side
    5,316,669x = 136,018,244,734,596
  5. Step 5: Solve for x
    x = 136,018,244,734,596/5,316,669
  6. Step 6: Final answer
    x = 25,583,357.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.